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108165042 = 23218613229
BaseRepresentation
bin1100111001001…
…11011110110010
321112112100112200
412130213132302
5210142240132
614422204030
72452246656
oct634473662
9245470480
10108165042
1156068aa7
1230283616
13195420ab
1410518a66
159768d7c
hex67277b2

108165042 has 24 divisors (see below), whose sum is σ = 234556140. Its totient is φ = 36024480.

The previous prime is 108165037. The next prime is 108165047. The reversal of 108165042 is 240561801.

108165042 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 650 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (108165037) and next prime (108165047).

It can be written as a sum of positive squares in 2 ways, for example, as 85211361 + 22953681 = 9231^2 + 4791^2 .

It is a junction number, because it is equal to n+sod(n) for n = 108164997 and 108165015.

It is not an unprimeable number, because it can be changed into a prime (108165047) 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, 31884 + ... + 35112.

Almost surely, 2108165042 is an apocalyptic number.

108165042 is an abundant number, since it is smaller than the sum of its proper divisors (126391098).

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

108165042 is a wasteful number, since it uses less digits than its factorization.

108165042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 108165042 is about 10400.2424010212. The cubic root of 108165042 is about 476.4627734644.

The spelling of 108165042 in words is "one hundred eight million, one hundred sixty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 1861 3229 3722 5583 6458 9687 11166 16749 19374 29061 33498 58122 6009169 12018338 18027507 36055014 54082521 108165042