105875979 has 16 divisors (see below), whose sum is σ = 154586880. Its totient is φ = 63923360.

The previous prime is 105875971. The next prime is 105875989. The reversal of 105875979 is 979578501.

It is a cyclic number.

It is not a de Polignac number, because 105875979 - 2³ = 105875971 is a prime.

It is a super-2 number, since 2×105875979² = 22419445858416882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105875971) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2914 + ... + 14840.

It is an arithmetic number, because the mean of its divisors is an integer number (9661680).

Almost surely, 2^105875979 is an apocalyptic number.

105875979 is a deficient number, since it is larger than the sum of its proper divisors (48710901).

105875979 is a wasteful number, since it uses less digits than its factorization.

105875979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210.

The product of its (nonzero) digits is 793800, while the sum is 51.

The square root of 105875979 is about 10289.6053860194. The cubic root of 105875979 is about 473.0777032807.

The spelling of 105875979 in words is "one hundred five million, eight hundred seventy-five thousand, nine hundred seventy-nine".