105979167 has 18 divisors (see below), whose sum is σ = 175084728. Its totient is φ = 60512832.

The previous prime is 105979141. The next prime is 105979183. The reversal of 105979167 is 761979501.

It is not a de Polignac number, because 105979167 - 2⁶ = 105979103 is a prime.

It is a super-2 number, since 2×105979167² = 22463167676027778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105979127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81063 + ... + 82359.

Almost surely, 2^105979167 is an apocalyptic number.

105979167 is a deficient number, since it is larger than the sum of its proper divisors (69105561).

105979167 is an frugal number, since it uses more digits than its factorization.

105979167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 105979167 is about 10294.6183513523. The cubic root of 105979167 is about 473.2313424481.

The spelling of 105979167 in words is "one hundred five million, nine hundred seventy-nine thousand, one hundred sixty-seven".