106516304 has 20 divisors (see below), whose sum is σ = 213492660. Its totient is φ = 51421440.

The previous prime is 106516283. The next prime is 106516313. The reversal of 106516304 is 403615601.

It can be written as a sum of positive squares in 2 ways, for example, as 36626704 + 69889600 = 6052^2 + 8360^2 .

It is a super-2 number, since 2×106516304² = 22691446035640832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 114317 + ... + 115244.

It is an arithmetic number, because the mean of its divisors is an integer number (10674633).

Almost surely, 2^106516304 is an apocalyptic number.

It is an amenable number.

106516304 is an abundant number, since it is smaller than the sum of its proper divisors (106976356).

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

106516304 is a wasteful number, since it uses less digits than its factorization.

106516304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229598 (or 229592 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 106516304 is about 10320.6736214261. The cubic root of 106516304 is about 474.0294924886.

The spelling of 106516304 in words is "one hundred six million, five hundred sixteen thousand, three hundred four".