106813992 has 32 divisors (see below), whose sum is σ = 282744000. Its totient is φ = 33510144.

The previous prime is 106813963. The next prime is 106813999. The reversal of 106813992 is 299318601.

It is a super-2 number, since 2×106813992² = 22818457773952128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106813992.

It is not an unprimeable number, because it can be changed into a prime (106813999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130492 + ... + 131307.

It is an arithmetic number, because the mean of its divisors is an integer number (8835750).

Almost surely, 2^106813992 is an apocalyptic number.

106813992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106813992 is an abundant number, since it is smaller than the sum of its proper divisors (175930008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106813992 is a wasteful number, since it uses less digits than its factorization.

106813992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261825 (or 261821 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 106813992 is about 10335.0854858584. The cubic root of 106813992 is about 474.4706820245.

The spelling of 106813992 in words is "one hundred six million, eight hundred thirteen thousand, nine hundred ninety-two".