105981957 has 6 divisors (see below), whose sum is σ = 153085062. Its totient is φ = 70654632.

The previous prime is 105981947. The next prime is 105981959. The reversal of 105981957 is 759189501.

105981957 is a `hidden beast` number, since 1 + 0 + 598 + 1 + 9 + 57 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104223681 + 1758276 = 10209^2 + 1326^2 .

It is not a de Polignac number, because 105981957 - 2¹⁵ = 105949189 is a prime.

It is a super-2 number, since 2×105981957² = 22464350419099698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105981959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5887878 + ... + 5887895.

It is an arithmetic number, because the mean of its divisors is an integer number (25514177).

Almost surely, 2^105981957 is an apocalyptic number.

It is an amenable number.

105981957 is a deficient number, since it is larger than the sum of its proper divisors (47103105).

105981957 is a wasteful number, since it uses less digits than its factorization.

105981957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11775779 (or 11775776 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 45.

The square root of 105981957 is about 10294.7538581551. The cubic root of 105981957 is about 473.2354951632.

The spelling of 105981957 in words is "one hundred five million, nine hundred eighty-one thousand, nine hundred fifty-seven".