106279392 has 48 divisors (see below), whose sum is σ = 286533072. Its totient is φ = 34467840.

The previous prime is 106279391. The next prime is 106279441. The reversal of 106279392 is 293972601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106279392² = 22590618327779328, 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 106279392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106279391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11409 + ... + 18512.

It is an arithmetic number, because the mean of its divisors is an integer number (5969439).

Almost surely, 2^106279392 is an apocalyptic number.

106279392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106279392 is an abundant number, since it is smaller than the sum of its proper divisors (180253680).

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

106279392 is a wasteful number, since it uses less digits than its factorization.

106279392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29971 (or 29963 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 106279392 is about 10309.1896868765. The cubic root of 106279392 is about 473.6777884613.

The spelling of 106279392 in words is "one hundred six million, two hundred seventy-nine thousand, three hundred ninety-two".