105631057 has 16 divisors (see below), whose sum is σ = 122234112. Its totient is φ = 89415360.

The previous prime is 105631049. The next prime is 105631087. The reversal of 105631057 is 750136501.

It is a cyclic number.

It is not a de Polignac number, because 105631057 - 2³ = 105631049 is a prime.

It is a super-2 number, since 2×105631057² = 22315840405874498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105631027) 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, 333063 + ... + 333379.

It is an arithmetic number, because the mean of its divisors is an integer number (7639632).

Almost surely, 2^105631057 is an apocalyptic number.

It is an amenable number.

105631057 is a deficient number, since it is larger than the sum of its proper divisors (16603055).

105631057 is a wasteful number, since it uses less digits than its factorization.

105631057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 105631057 is about 10277.6970669504. The cubic root of 105631057 is about 472.7126327578.

Adding to 105631057 its reverse (750136501), we get a palindrome (855767558).

The spelling of 105631057 in words is "one hundred five million, six hundred thirty-one thousand, fifty-seven".