105400957 has 2 divisors, whose sum is σ = 105400958. Its totient is φ = 105400956.

The previous prime is 105400951. The next prime is 105400979. The reversal of 105400957 is 759004501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105390756 + 10201 = 10266^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 105400957 - 2³ = 105400949 is a prime.

It is a super-2 number, since 2×105400957² = 22218723473031698, 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 (105400951) 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 as a sum of consecutive naturals, namely, 52700478 + 52700479.

It is an arithmetic number, because the mean of its divisors is an integer number (52700479).

Almost surely, 2^105400957 is an apocalyptic number.

It is an amenable number.

105400957 is a deficient number, since it is larger than the sum of its proper divisors (1).

105400957 is an equidigital number, since it uses as much as digits as its factorization.

105400957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 105400957 is about 10266.4968221882. The cubic root of 105400957 is about 472.3691408099.

The spelling of 105400957 in words is "one hundred five million, four hundred thousand, nine hundred fifty-seven".