106772931 has 16 divisors (see below), whose sum is σ = 158356000. Its totient is φ = 71103744.

The previous prime is 106772927. The next prime is 106772933. The reversal of 106772931 is 139277601.

It is a happy number.

It is not a de Polignac number, because 106772931 - 2² = 106772927 is a prime.

It is a super-2 number, since 2×106772931² = 22800917588661522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106772933) 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, 33495 + ... + 36543.

It is an arithmetic number, because the mean of its divisors is an integer number (9897250).

Almost surely, 2^106772931 is an apocalyptic number.

106772931 is a deficient number, since it is larger than the sum of its proper divisors (51583069).

106772931 is a wasteful number, since it uses less digits than its factorization.

106772931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 106772931 is about 10333.0988091666. The cubic root of 106772931 is about 474.4098762029.

The spelling of 106772931 in words is "one hundred six million, seven hundred seventy-two thousand, nine hundred thirty-one".