105196500315 has 48 divisors (see below), whose sum is σ = 183713414976. Its totient is φ = 55683072000.

The previous prime is 105196500307. The next prime is 105196500349. The reversal of 105196500315 is 513005691501.

105196500315 is a `hidden beast` number, since 1 + 0 + 51 + 96 + 500 + 3 + 15 = 666.

It is not a de Polignac number, because 105196500315 - 2³ = 105196500307 is a prime.

It is a super-2 number, since 2×105196500315² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105196500315.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8263155 + ... + 8275875.

It is an arithmetic number, because the mean of its divisors is an integer number (3827362812).

Almost surely, 2^105196500315 is an apocalyptic number.

105196500315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105196500315 is a deficient number, since it is larger than the sum of its proper divisors (78516914661).

105196500315 is a wasteful number, since it uses less digits than its factorization.

105196500315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14100 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The spelling of 105196500315 in words is "one hundred five billion, one hundred ninety-six million, five hundred thousand, three hundred fifteen".