105685663 has 2 divisors, whose sum is σ = 105685664. Its totient is φ = 105685662.

The previous prime is 105685639. The next prime is 105685669. The reversal of 105685663 is 366586501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105685663 - 2²⁵ = 72131231 is a prime.

It is a super-2 number, since 2×105685663² = 22338918727499138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105685669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52842831 + 52842832.

It is an arithmetic number, because the mean of its divisors is an integer number (52842832).

Almost surely, 2^105685663 is an apocalyptic number.

105685663 is a deficient number, since it is larger than the sum of its proper divisors (1).

105685663 is an equidigital number, since it uses as much as digits as its factorization.

105685663 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 105685663 is about 10280.3532526854. The cubic root of 105685663 is about 472.7940750281.

The spelling of 105685663 in words is "one hundred five million, six hundred eighty-five thousand, six hundred sixty-three".