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106359957 = 32111074343
BaseRepresentation
bin1100101011011…
…10110010010101
321102010122102200
412111232302111
5204212004312
614315355113
72431021224
oct625566225
9242118380
10106359957
11550458a0
122b752a99
131905c5b2
14101a8cbb
15950e0dc
hex656ec95

106359957 has 12 divisors (see below), whose sum is σ = 167597664. Its totient is φ = 64460520.

The previous prime is 106359947. The next prime is 106359971. The reversal of 106359957 is 759953601.

106359957 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 599 + 57 = 666.

It is not a de Polignac number, because 106359957 - 26 = 106359893 is a prime.

It is a super-2 number, since 2×1063599572 = 22624880906083698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106359937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537073 + ... + 537270.

It is an arithmetic number, because the mean of its divisors is an integer number (13966472).

Almost surely, 2106359957 is an apocalyptic number.

It is an amenable number.

106359957 is a deficient number, since it is larger than the sum of its proper divisors (61237707).

106359957 is a wasteful number, since it uses less digits than its factorization.

106359957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074360 (or 1074357 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 106359957 is about 10313.0963827553. The cubic root of 106359957 is about 473.7974485745.

It can be divided in two parts, 106 and 359957, that added together give a palindrome (360063).

The spelling of 106359957 in words is "one hundred six million, three hundred fifty-nine thousand, nine hundred fifty-seven".

Divisors: 1 3 9 11 33 99 1074343 3223029 9669087 11817773 35453319 106359957