105192315 has 12 divisors (see below), whose sum is σ = 182333424. Its totient is φ = 56102544.

The previous prime is 105192289. The next prime is 105192337. The reversal of 105192315 is 513291501.

It is not a de Polignac number, because 105192315 - 2¹² = 105188219 is a prime.

It is a super-2 number, since 2×105192315² = 22130846270118450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168759 + ... + 1168848.

It is an arithmetic number, because the mean of its divisors is an integer number (15194452).

Almost surely, 2^105192315 is an apocalyptic number.

105192315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105192315 is a deficient number, since it is larger than the sum of its proper divisors (77141109).

105192315 is a wasteful number, since it uses less digits than its factorization.

105192315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337618 (or 2337615 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105192315 is about 10256.3304841449. The cubic root of 105192315 is about 472.0572488135.

The spelling of 105192315 in words is "one hundred five million, one hundred ninety-two thousand, three hundred fifteen".