105516115511560 has 64 divisors (see below), whose sum is σ = 256645808052480. Its totient is φ = 38811660337920.

The previous prime is 105516115511539. The next prime is 105516115511567. The reversal of 105516115511560 is 65115511615501.

It is a happy number.

It is a super-2 number, since 2×105516115511560² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105516115511567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385634356 + ... + 385907875.

It is an arithmetic number, because the mean of its divisors is an integer number (4010090750820).

Almost surely, 2^{105516115511560} is an apocalyptic number.

105516115511560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105516115511560 is an abundant number, since it is smaller than the sum of its proper divisors (151129692540920).

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

105516115511560 is a wasteful number, since it uses less digits than its factorization.

105516115511560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771542518 (or 771542514 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 43.

The spelling of 105516115511560 in words is "one hundred five trillion, five hundred sixteen billion, one hundred fifteen million, five hundred eleven thousand, five hundred sixty".