105079975 has 144 divisors (see below), whose sum is σ = 196058880. Its totient is φ = 53913600.

The previous prime is 105079967. The next prime is 105079991. The reversal of 105079975 is 579970501.

It is not a de Polignac number, because 105079975 - 2³ = 105079967 is a prime.

It is a super-2 number, since 2×105079975² = 22083602292001250, which contains 22 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 5530516 + ... + 5530534.

It is an arithmetic number, because the mean of its divisors is an integer number (1361520).

Almost surely, 2^105079975 is an apocalyptic number.

105079975 is a deficient number, since it is larger than the sum of its proper divisors (90978905).

105079975 is a wasteful number, since it uses less digits than its factorization.

105079975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 99225, while the sum is 43.

The square root of 105079975 is about 10250.8524035809. The cubic root of 105079975 is about 471.8891446427.

The spelling of 105079975 in words is "one hundred five million, seventy-nine thousand, nine hundred seventy-five".