106672124331 has 24 divisors (see below), whose sum is σ = 163175794704. Its totient is φ = 66919142400.

The previous prime is 106672124303. The next prime is 106672124341. The reversal of 106672124331 is 133421276601.

106672124331 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 7 + 212 + 433 + 1 = 666.

It is not a de Polignac number, because 106672124331 - 2⁶ = 106672124267 is a prime.

It is a super-2 number, since 2×106672124331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106672124341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802915 + ... + 926291.

It is an arithmetic number, because the mean of its divisors is an integer number (6798991446).

Almost surely, 2^106672124331 is an apocalyptic number.

106672124331 is a deficient number, since it is larger than the sum of its proper divisors (56503670373).

106672124331 is a wasteful number, since it uses less digits than its factorization.

106672124331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129051 (or 129048 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 106672124331 in words is "one hundred six billion, six hundred seventy-two million, one hundred twenty-four thousand, three hundred thirty-one".