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106023420 = 2232519291069
BaseRepresentation
bin1100101000111…
…00100111111100
321101111112210100
412110130213330
5204120222140
614304241100
72425120116
oct624344774
9241445710
10106023420
1154935a68
122b610190
1318c72369
141011c3b6
159494530
hex651c9fc

106023420 has 144 divisors (see below), whose sum is σ = 350532000. Its totient is φ = 25837056.

The previous prime is 106023397. The next prime is 106023433. The reversal of 106023420 is 24320601.

It is a happy number.

106023420 is a `hidden beast` number, since 10 + 602 + 34 + 20 = 666.

It is a super-2 number, since 2×1060234202 = 22481931176992800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106023393 and 106023402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98646 + ... + 99714.

It is an arithmetic number, because the mean of its divisors is an integer number (2434250).

Almost surely, 2106023420 is an apocalyptic number.

106023420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175266000).

106023420 is an abundant number, since it is smaller than the sum of its proper divisors (244508580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106023420 is a wasteful number, since it uses less digits than its factorization.

106023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106023420 is about 10296.7674539148. The cubic root of 106023420 is about 473.2972012799.

The spelling of 106023420 in words is "one hundred six million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 522 551 570 580 684 855 870 1044 1069 1102 1140 1305 1653 1710 1740 2138 2204 2610 2755 3207 3306 3420 4276 4959 5220 5345 5510 6414 6612 8265 9621 9918 10690 11020 12828 16035 16530 19242 19836 20311 21380 24795 31001 32070 33060 38484 40622 48105 49590 60933 62002 64140 81244 93003 96210 99180 101555 121866 124004 155005 182799 186006 192420 203110 243732 279009 304665 310010 365598 372012 406220 465015 558018 589019 609330 620020 731196 913995 930030 1116036 1178038 1218660 1395045 1767057 1827990 1860060 2356076 2790090 2945095 3534114 3655980 5301171 5580180 5890190 7068228 8835285 10602342 11780380 17670570 21204684 26505855 35341140 53011710 106023420