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106042230 = 23357192953
BaseRepresentation
bin1100101001000…
…01001101110110
321101112111121000
412110201031312
5204121322410
614304504130
72425226010
oct624411566
9241474530
10106042230
1154949108
122b61b046
1318c7aaa8
14101251b0
159499dc0
hex6521376

106042230 has 128 divisors (see below), whose sum is σ = 340300800. Its totient is φ = 22954752.

The previous prime is 106042177. The next prime is 106042271. The reversal of 106042230 is 32240601.

It is a happy number.

106042230 is a `hidden beast` number, since 10 + 604 + 22 + 30 = 666.

It is a super-2 number, since 2×1060422302 = 22489909086745800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34434 + ... + 37386.

It is an arithmetic number, because the mean of its divisors is an integer number (2658600).

Almost surely, 2106042230 is an apocalyptic number.

106042230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106042230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170150400).

106042230 is an abundant number, since it is smaller than the sum of its proper divisors (234258570).

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

106042230 is a wasteful number, since it uses less digits than its factorization.

106042230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2989 counting only the distinct ones).

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

The square root of 106042230 is about 10297.6808068613. The cubic root of 106042230 is about 473.3251894166.

Adding to 106042230 its reverse (32240601), we get a palindrome (138282831).

The spelling of 106042230 in words is "one hundred six million, forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 2953 3591 3990 5130 5906 5985 7182 8859 11970 14765 17718 17955 20671 26577 29530 35910 41342 44295 53154 56107 62013 79731 88590 103355 112214 124026 132885 159462 168321 186039 206710 265770 280535 310065 336642 372078 392749 398655 504963 558117 561070 620130 785498 797310 841605 930195 1009926 1116234 1178247 1514889 1683210 1860390 1963745 2356494 2524815 2790585 3029778 3534741 3927490 5049630 5581170 5891235 7069482 7574445 10604223 11782470 15148890 17673705 21208446 35347410 53021115 106042230