106994304 has 128 divisors (see below), whose sum is σ = 320443200. Its totient is φ = 35140608.

The previous prime is 106994281. The next prime is 106994351. The reversal of 106994304 is 403499601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106994304² = 22895562176888832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286662 + ... + 287034.

Almost surely, 2^106994304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160221600).

106994304 is an abundant number, since it is smaller than the sum of its proper divisors (213448896).

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

106994304 is an equidigital number, since it uses as much as digits as its factorization.

106994304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 106994304 is about 10343.8051025723. The cubic root of 106994304 is about 474.7375155506.

The spelling of 106994304 in words is "one hundred six million, nine hundred ninety-four thousand, three hundred four".