105092967 has 16 divisors (see below), whose sum is σ = 160535552. Its totient is φ = 59905440.

The previous prime is 105092951. The next prime is 105093017. The reversal of 105092967 is 769290501.

It is not a de Polignac number, because 105092967 - 2⁴ = 105092951 is a prime.

It is a super-2 number, since 2×105092967² = 22089063425726178, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105090967) 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, 2898 + ... + 14784.

It is an arithmetic number, because the mean of its divisors is an integer number (10033472).

Almost surely, 2^105092967 is an apocalyptic number.

105092967 is a deficient number, since it is larger than the sum of its proper divisors (55442585).

105092967 is a wasteful number, since it uses less digits than its factorization.

105092967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318.

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 105092967 is about 10251.4860873924. The cubic root of 105092967 is about 471.9085918340.

The spelling of 105092967 in words is "one hundred five million, ninety-two thousand, nine hundred sixty-seven".