105775257 has 16 divisors (see below), whose sum is σ = 161372160. Its totient is φ = 60371472.

The previous prime is 105775253. The next prime is 105775273. The reversal of 105775257 is 752577501.

It is not a de Polignac number, because 105775257 - 2² = 105775253 is a prime.

It is a super-2 number, since 2×105775257² = 22376809986832098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105775253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18928 + ... + 23870.

It is an arithmetic number, because the mean of its divisors is an integer number (10085760).

Almost surely, 2^105775257 is an apocalyptic number.

It is an amenable number.

105775257 is a deficient number, since it is larger than the sum of its proper divisors (55596903).

105775257 is a wasteful number, since it uses less digits than its factorization.

105775257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972.

The product of its (nonzero) digits is 85750, while the sum is 39.

The square root of 105775257 is about 10284.7098646486. The cubic root of 105775257 is about 472.9276394960.

The spelling of 105775257 in words is "one hundred five million, seven hundred seventy-five thousand, two hundred fifty-seven".