105580963 has 2 divisors, whose sum is σ = 105580964. Its totient is φ = 105580962.

The previous prime is 105580949. The next prime is 105580987. The reversal of 105580963 is 369085501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105580963 is a prime.

It is a super-2 number, since 2×105580963² = 22294679496014738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105580903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52790481 + 52790482.

It is an arithmetic number, because the mean of its divisors is an integer number (52790482).

Almost surely, 2^105580963 is an apocalyptic number.

105580963 is a deficient number, since it is larger than the sum of its proper divisors (1).

105580963 is an equidigital number, since it uses as much as digits as its factorization.

105580963 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 105580963 is about 10275.2597534077. The cubic root of 105580963 is about 472.6378952340.

The spelling of 105580963 in words is "one hundred five million, five hundred eighty thousand, nine hundred sixty-three".