105364975 has 24 divisors (see below), whose sum is σ = 142290000. Its totient is φ = 77091840.

The previous prime is 105364943. The next prime is 105364979. The reversal of 105364975 is 579463501.

It is not a de Polignac number, because 105364975 - 2⁵ = 105364943 is a prime.

It is a super-2 number, since 2×105364975² = 22203555913501250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105364979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9951 + ... + 17599.

It is an arithmetic number, because the mean of its divisors is an integer number (5928750).

Almost surely, 2^105364975 is an apocalyptic number.

105364975 is a deficient number, since it is larger than the sum of its proper divisors (36925025).

105364975 is a wasteful number, since it uses less digits than its factorization.

105364975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 105364975 is about 10264.7442734829. The cubic root of 105364975 is about 472.3153819023.

The spelling of 105364975 in words is "one hundred five million, three hundred sixty-four thousand, nine hundred seventy-five".