105624331 has 2 divisors, whose sum is σ = 105624332. Its totient is φ = 105624330.

The previous prime is 105624329. The next prime is 105624359. The reversal of 105624331 is 133426501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105624331 - 2¹ = 105624329 is a prime.

It is a super-2 number, since 2×105624331² = 22312998598395122, which contains 22 as substring.

Together with 105624329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105624296 and 105624305.

It is not a weakly prime, because it can be changed into another prime (105624391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52812165 + 52812166.

It is an arithmetic number, because the mean of its divisors is an integer number (52812166).

Almost surely, 2^105624331 is an apocalyptic number.

105624331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105624331 is an equidigital number, since it uses as much as digits as its factorization.

105624331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 105624331 is about 10277.3698483610. The cubic root of 105624331 is about 472.7025993051.

The spelling of 105624331 in words is "one hundred five million, six hundred twenty-four thousand, three hundred thirty-one".