105764257 has 8 divisors (see below), whose sum is σ = 108353376. Its totient is φ = 103204992.

The previous prime is 105764251. The next prime is 105764261. The reversal of 105764257 is 752467501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105764257 - 2³ = 105764249 is a prime.

It is a super-2 number, since 2×105764257² = 22372156117524098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105764251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208 + ... + 14545.

It is an arithmetic number, because the mean of its divisors is an integer number (13544172).

Almost surely, 2^105764257 is an apocalyptic number.

It is an amenable number.

105764257 is a deficient number, since it is larger than the sum of its proper divisors (2589119).

105764257 is a wasteful number, since it uses less digits than its factorization.

105764257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14927.

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 105764257 is about 10284.1750763005. The cubic root of 105764257 is about 472.9112450369.

The spelling of 105764257 in words is "one hundred five million, seven hundred sixty-four thousand, two hundred fifty-seven".