105417931 has 2 divisors, whose sum is σ = 105417932. Its totient is φ = 105417930.

The previous prime is 105417911. The next prime is 105417941. The reversal of 105417931 is 139714501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105417931 - 2⁵ = 105417899 is a prime.

It is a super-2 number, since 2×105417931² = 22225880352641522, which contains 22 as substring.

It is equal to p_6055348 and since 105417931 and 6055348 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 105417893 and 105417902.

It is not a weakly prime, because it can be changed into another prime (105417911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52708965 + 52708966.

It is an arithmetic number, because the mean of its divisors is an integer number (52708966).

Almost surely, 2^105417931 is an apocalyptic number.

105417931 is a deficient number, since it is larger than the sum of its proper divisors (1).

105417931 is an equidigital number, since it uses as much as digits as its factorization.

105417931 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 105417931 is about 10267.3234584287. The cubic root of 105417931 is about 472.3944965677.

The spelling of 105417931 in words is "one hundred five million, four hundred seventeen thousand, nine hundred thirty-one".