105772657 has 16 divisors (see below), whose sum is σ = 117037440. Its totient is φ = 95139072.

The previous prime is 105772643. The next prime is 105772687. The reversal of 105772657 is 756277501.

It is not a de Polignac number, because 105772657 - 2¹⁵ = 105739889 is a prime.

It is a super-2 number, since 2×105772657² = 22375709937679298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105772687) 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, 49738 + ... + 51820.

It is an arithmetic number, because the mean of its divisors is an integer number (7314840).

Almost surely, 2^105772657 is an apocalyptic number.

105772657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105772657 is a deficient number, since it is larger than the sum of its proper divisors (11264783).

105772657 is a wasteful number, since it uses less digits than its factorization.

105772657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232.

The product of its (nonzero) digits is 102900, while the sum is 40.

The square root of 105772657 is about 10284.5834626396. The cubic root of 105772657 is about 472.9237645447.

The spelling of 105772657 in words is "one hundred five million, seven hundred seventy-two thousand, six hundred fifty-seven".