105099931 has 2 divisors, whose sum is σ = 105099932. Its totient is φ = 105099930.

The previous prime is 105099919. The next prime is 105099959. The reversal of 105099931 is 139990501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105099931 - 2⁷ = 105099803 is a prime.

It is a super-2 number, since 2×105099931² = 22091990992409522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105499931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52549965 + 52549966.

It is an arithmetic number, because the mean of its divisors is an integer number (52549966).

Almost surely, 2^105099931 is an apocalyptic number.

105099931 is a deficient number, since it is larger than the sum of its proper divisors (1).

105099931 is an equidigital number, since it uses as much as digits as its factorization.

105099931 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10935, while the sum is 37.

The square root of 105099931 is about 10251.8257398378. The cubic root of 105099931 is about 471.9190152998.

It can be divided in two parts, 105099 and 931, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 105099931 in words is "one hundred five million, ninety-nine thousand, nine hundred thirty-one".