105179121 has 16 divisors (see below), whose sum is σ = 156340800. Its totient is φ = 69885504.

The previous prime is 105179111. The next prime is 105179149. The reversal of 105179121 is 121971501.

It is not a de Polignac number, because 105179121 - 2⁷ = 105178993 is a prime.

It is a super-2 number, since 2×105179121² = 22125294988665282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105179101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945 + ... + 14633.

It is an arithmetic number, because the mean of its divisors is an integer number (9771300).

Almost surely, 2^105179121 is an apocalyptic number.

It is an amenable number.

105179121 is a deficient number, since it is larger than the sum of its proper divisors (51161679).

105179121 is a wasteful number, since it uses less digits than its factorization.

105179121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 105179121 is about 10255.6872514717. The cubic root of 105179121 is about 472.0375116817.

The spelling of 105179121 in words is "one hundred five million, one hundred seventy-nine thousand, one hundred twenty-one".