106923264 has 72 divisors (see below), whose sum is σ = 325241280. Its totient is φ = 30547968.

The previous prime is 106923211. The next prime is 106923269. The reversal of 106923264 is 462329601.

It is a super-2 number, since 2×106923264² = 22865168768827392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106923269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4569 + ... + 15320.

It is an arithmetic number, because the mean of its divisors is an integer number (4517240).

Almost surely, 2^106923264 is an apocalyptic number.

106923264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106923264 is an abundant number, since it is smaller than the sum of its proper divisors (218318016).

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

106923264 is an equidigital number, since it uses as much as digits as its factorization.

106923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19915 (or 19901 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 106923264 is about 10340.3705929720. The cubic root of 106923264 is about 474.6324232896.

The spelling of 106923264 in words is "one hundred six million, nine hundred twenty-three thousand, two hundred sixty-four".