105516185964 has 48 divisors (see below), whose sum is σ = 282446427648. Its totient is φ = 30032846208.

The previous prime is 105516185963. The next prime is 105516185977. The reversal of 105516185964 is 469581615501.

It is a super-2 number, since 2×105516185964² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105516185963) 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, 2366017 + ... + 2410200.

It is an arithmetic number, because the mean of its divisors is an integer number (5884300576).

Almost surely, 2^105516185964 is an apocalyptic number.

105516185964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105516185964 is an abundant number, since it is smaller than the sum of its proper divisors (176930241684).

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

105516185964 is a wasteful number, since it uses less digits than its factorization.

105516185964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776494 (or 4776492 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 51.

The spelling of 105516185964 in words is "one hundred five billion, five hundred sixteen million, one hundred eighty-five thousand, nine hundred sixty-four".