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106621020 = 223251153849
BaseRepresentation
bin1100101101011…
…10100001011100
321102121220112200
412112232201130
5204243333040
614325131500
72433156312
oct626564134
9242556480
10106621020
1155203a50
122b859b90
131912137c
14102360b2
159561630
hex65ae85c

106621020 has 72 divisors (see below), whose sum is σ = 352825200. Its totient is φ = 25847040.

The previous prime is 106621019. The next prime is 106621049. The reversal of 106621020 is 20126601.

It is a happy number.

106621020 is a `hidden beast` number, since 1 + 0 + 662 + 1 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×1066210202 = 22736083811680800, 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 = 106620984 and 106621002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24945 + ... + 28904.

It is an arithmetic number, because the mean of its divisors is an integer number (4900350).

Almost surely, 2106621020 is an apocalyptic number.

106621020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106621020 is an abundant number, since it is smaller than the sum of its proper divisors (246204180).

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

106621020 is a wasteful number, since it uses less digits than its factorization.

106621020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53875 (or 53870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106621020 is about 10325.7454936678. The cubic root of 106621020 is about 474.1847808118.

Adding to 106621020 its reverse (20126601), we get a palindrome (126747621).

It can be divided in two parts, 106 and 621020, that added together give a palindrome (621126).

The spelling of 106621020 in words is "one hundred six million, six hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 53849 107698 161547 215396 269245 323094 484641 538490 592339 646188 807735 969282 1076980 1184678 1615470 1777017 1938564 2369356 2423205 2961695 3230940 3554034 4846410 5331051 5923390 7108068 8885085 9692820 10662102 11846780 17770170 21324204 26655255 35540340 53310510 106621020