105165661151560 has 64 divisors (see below), whose sum is σ = 236708295548400. Its totient is φ = 42051056173056.

The previous prime is 105165661151533. The next prime is 105165661151611. The reversal of 105165661151560 is 65151166561501.

It can be written as a sum of positive squares in 8 ways, for example, as 23026350822084 + 82139310329476 = 4798578^2 + 9063074^2 .

It is a super-2 number, since 2×105165661151560² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2520184776 + ... + 2520226504.

Almost surely, 2^{105165661151560} is an apocalyptic number.

105165661151560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105165661151560 is an abundant number, since it is smaller than the sum of its proper divisors (131542634396840).

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

105165661151560 is a wasteful number, since it uses less digits than its factorization.

105165661151560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63010 (or 63006 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 49.

The spelling of 105165661151560 in words is "one hundred five trillion, one hundred sixty-five billion, six hundred sixty-one million, one hundred fifty-one thousand, five hundred sixty".