105257807 has 2 divisors, whose sum is σ = 105257808. Its totient is φ = 105257806.

The previous prime is 105257797. The next prime is 105257809. The reversal of 105257807 is 708752501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105257807 - 2²⁴ = 88480591 is a prime.

It is a super-2 number, since 2×105257807² = 22158411868898498, which contains 22 as substring.

Together with 105257809, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105257809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52628903 + 52628904.

It is an arithmetic number, because the mean of its divisors is an integer number (52628904).

Almost surely, 2^105257807 is an apocalyptic number.

105257807 is a deficient number, since it is larger than the sum of its proper divisors (1).

105257807 is an equidigital number, since it uses as much as digits as its factorization.

105257807 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 105257807 is about 10259.5227471847. The cubic root of 105257807 is about 472.1551950038.

The spelling of 105257807 in words is "one hundred five million, two hundred fifty-seven thousand, eight hundred seven".