106973312 has 32 divisors (see below), whose sum is σ = 219993600. Its totient is φ = 51759360.

The previous prime is 106973309. The next prime is 106973341. The reversal of 106973312 is 213379601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106973312² = 22886578960498688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9512 + ... + 17447.

It is an arithmetic number, because the mean of its divisors is an integer number (6874800).

Almost surely, 2^106973312 is an apocalyptic number.

It is an amenable number.

106973312 is an abundant number, since it is smaller than the sum of its proper divisors (113020288).

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

106973312 is an equidigital number, since it uses as much as digits as its factorization.

106973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27004 (or 26992 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 106973312 is about 10342.7903391686. The cubic root of 106973312 is about 474.7064661041.

The spelling of 106973312 in words is "one hundred six million, nine hundred seventy-three thousand, three hundred twelve".