105556005600165 has 160 divisors (see below), whose sum is σ = 197352844001280. Its totient is φ = 53916420096000.

The previous prime is 105556005600079. The next prime is 105556005600181. The reversal of 105556005600165 is 561006500655501.

105556005600165 is a `hidden beast` number, since 10 + 5 + 5 + 5 + 60 + 0 + 560 + 0 + 16 + 5 = 666.

It is not a de Polignac number, because 105556005600165 - 2¹¹ = 105556005598117 is a prime.

It is a super-2 number, since 2×105556005600165² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105556005600165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 639305941 + ... + 639471029.

It is an arithmetic number, because the mean of its divisors is an integer number (1233455275008).

Almost surely, 2^{105556005600165} is an apocalyptic number.

105556005600165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105556005600165 is a deficient number, since it is larger than the sum of its proper divisors (91796838401115).

105556005600165 is a wasteful number, since it uses less digits than its factorization.

105556005600165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165665 (or 165656 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 105556005600165 in words is "one hundred five trillion, five hundred fifty-six billion, five million, six hundred thousand, one hundred sixty-five".