105413953 has 2 divisors, whose sum is σ = 105413954. Its totient is φ = 105413952.

The previous prime is 105413929. The next prime is 105413969. The reversal of 105413953 is 359314501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84327489 + 21086464 = 9183^2 + 4592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105413953 is a prime.

It is a super-2 number, since 2×105413953² = 22224202974172418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105413053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706976 + 52706977.

It is an arithmetic number, because the mean of its divisors is an integer number (52706977).

Almost surely, 2^105413953 is an apocalyptic number.

It is an amenable number.

105413953 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413953 is an equidigital number, since it uses as much as digits as its factorization.

105413953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 105413953 is about 10267.1297352279. The cubic root of 105413953 is about 472.3885544763.

The spelling of 105413953 in words is "one hundred five million, four hundred thirteen thousand, nine hundred fifty-three".