105964691 has 16 divisors (see below), whose sum is σ = 127887360. Its totient is φ = 86007528.

The previous prime is 105964687. The next prime is 105964711. The reversal of 105964691 is 196469501.

It is not a de Polignac number, because 105964691 - 2² = 105964687 is a prime.

It is a super-2 number, since 2×105964691² = 22457031477450962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105964601) 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, 46910 + ... + 49116.

It is an arithmetic number, because the mean of its divisors is an integer number (7992960).

Almost surely, 2^105964691 is an apocalyptic number.

105964691 is a deficient number, since it is larger than the sum of its proper divisors (21922669).

105964691 is an frugal number, since it uses more digits than its factorization.

105964691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 105964691 is about 10293.9152415395. The cubic root of 105964691 is about 473.2097947891.

The spelling of 105964691 in words is "one hundred five million, nine hundred sixty-four thousand, six hundred ninety-one".