106579932 has 24 divisors (see below), whose sum is σ = 252765072. Its totient is φ = 34944000.

The previous prime is 106579931. The next prime is 106579933. The reversal of 106579932 is 239975601.

It is an interprime number because it is at equal distance from previous prime (106579931) and next prime (106579933).

It is a super-2 number, since 2×106579932² = 22718563810249248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106579931) 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, 72069 + ... + 73532.

It is an arithmetic number, because the mean of its divisors is an integer number (10531878).

Almost surely, 2^106579932 is an apocalyptic number.

106579932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106579932 is an abundant number, since it is smaller than the sum of its proper divisors (146185140).

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

106579932 is a wasteful number, since it uses less digits than its factorization.

106579932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145669 (or 145667 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 106579932 is about 10323.7557119490. The cubic root of 106579932 is about 474.1238615936.

The spelling of 106579932 in words is "one hundred six million, five hundred seventy-nine thousand, nine hundred thirty-two".