105996375 has 24 divisors (see below), whose sum is σ = 191078160. Its totient is φ = 56530800.

The previous prime is 105996361. The next prime is 105996389. The reversal of 105996375 is 573699501.

105996375 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 9 + 637 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (105996361) and next prime (105996389).

It is not a de Polignac number, because 105996375 - 2⁶ = 105996311 is a prime.

It is a super-2 number, since 2×105996375² = 22470463026281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 105996375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45985 + ... + 48234.

It is an arithmetic number, because the mean of its divisors is an integer number (7961590).

Almost surely, 2^105996375 is an apocalyptic number.

105996375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105996375 is a deficient number, since it is larger than the sum of its proper divisors (85081785).

105996375 is an equidigital number, since it uses as much as digits as its factorization.

105996375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94240 (or 94227 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 105996375 is about 10295.4540939193. The cubic root of 105996375 is about 473.2569541617.

The spelling of 105996375 in words is "one hundred five million, nine hundred ninety-six thousand, three hundred seventy-five".