105516111660 has 96 divisors (see below), whose sum is σ = 298283876352. Its totient is φ = 27868565760.

The previous prime is 105516111641. The next prime is 105516111671. The reversal of 105516111660 is 66111615501.

It is a super-2 number, since 2×105516111660² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615845 + ... + 2655875.

It is an arithmetic number, because the mean of its divisors is an integer number (3107123712).

Almost surely, 2^105516111660 is an apocalyptic number.

105516111660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105516111660 is an abundant number, since it is smaller than the sum of its proper divisors (192767764692).

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

105516111660 is a wasteful number, since it uses less digits than its factorization.

105516111660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40463 (or 40461 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 105516111660 in words is "one hundred five billion, five hundred sixteen million, one hundred eleven thousand, six hundred sixty".