105873967 has 2 divisors, whose sum is σ = 105873968. Its totient is φ = 105873966.

The previous prime is 105873961. The next prime is 105874031. The reversal of 105873967 is 769378501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105873967 - 2¹⁵ = 105841199 is a prime.

It is a super-2 number, since 2×105873967² = 22418593776634178, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105873961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52936983 + 52936984.

It is an arithmetic number, because the mean of its divisors is an integer number (52936984).

Almost surely, 2^105873967 is an apocalyptic number.

105873967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105873967 is an equidigital number, since it uses as much as digits as its factorization.

105873967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 105873967 is about 10289.5076169854. The cubic root of 105873967 is about 473.0747065722.

The spelling of 105873967 in words is "one hundred five million, eight hundred seventy-three thousand, nine hundred sixty-seven".