105957969 has 16 divisors (see below), whose sum is σ = 157054464. Its totient is φ = 63100800.

The previous prime is 105957949. The next prime is 105957979. The reversal of 105957969 is 969759501.

It is a happy number.

It is not a de Polignac number, because 105957969 - 2⁵ = 105957937 is a prime.

It is a super-2 number, since 2×105957969² = 22454182389209922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105957949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42612 + ... + 45029.

It is an arithmetic number, because the mean of its divisors is an integer number (9815904).

Almost surely, 2^105957969 is an apocalyptic number.

It is an amenable number.

105957969 is a deficient number, since it is larger than the sum of its proper divisors (51096495).

105957969 is a wasteful number, since it uses less digits than its factorization.

105957969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87688.

The product of its (nonzero) digits is 765450, while the sum is 51.

The square root of 105957969 is about 10293.5887327987. The cubic root of 105957969 is about 473.1997883631.

The spelling of 105957969 in words is "one hundred five million, nine hundred fifty-seven thousand, nine hundred sixty-nine".