105457031 has 2 divisors, whose sum is σ = 105457032. Its totient is φ = 105457030.

The previous prime is 105457003. The next prime is 105457039. The reversal of 105457031 is 130754501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105457031 is a prime.

It is a super-2 number, since 2×105457031² = 22242370774669922, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105457039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52728515 + 52728516.

It is an arithmetic number, because the mean of its divisors is an integer number (52728516).

Almost surely, 2^105457031 is an apocalyptic number.

105457031 is a deficient number, since it is larger than the sum of its proper divisors (1).

105457031 is an equidigital number, since it uses as much as digits as its factorization.

105457031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 105457031 is about 10269.2273808695. The cubic root of 105457031 is about 472.4528937856.

It can be divided in two parts, 10545 and 7031, that added together give a cube (17576 = 26³).

The spelling of 105457031 in words is "one hundred five million, four hundred fifty-seven thousand, thirty-one".