106972931 has 16 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 93102240.

The previous prime is 106972913. The next prime is 106972933. The reversal of 106972931 is 139279601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106972931 - 2⁶ = 106972867 is a prime.

It is a super-2 number, since 2×106972931² = 22886415933461522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106972933) 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, 18710 + ... + 23748.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2^106972931 is an apocalyptic number.

106972931 is a deficient number, since it is larger than the sum of its proper divisors (14954749).

106972931 is a wasteful number, since it uses less digits than its factorization.

106972931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146.

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 106972931 is about 10342.7719205250. The cubic root of 106972931 is about 474.7059025262.

The spelling of 106972931 in words is "one hundred six million, nine hundred seventy-two thousand, nine hundred thirty-one".