107630496 has 36 divisors (see below), whose sum is σ = 306075042. Its totient is φ = 35876736.

The previous prime is 107630483. The next prime is 107630507. The reversal of 107630496 is 694036701.

107630496 is a `hidden beast` number, since 10 + 7 + 630 + 4 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91470096 + 16160400 = 9564^2 + 4020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×107630496⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107630496.

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 5 ways as a sum of consecutive naturals, for example, 186571 + ... + 187146.

Almost surely, 2^107630496 is an apocalyptic number.

107630496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107630496 is an abundant number, since it is smaller than the sum of its proper divisors (198444546).

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

107630496 is a wasteful number, since it uses less digits than its factorization.

107630496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373733 (or 373722 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 107630496 is about 10374.5118439375. The cubic root of 107630496 is about 475.6765922187.

The spelling of 107630496 in words is "one hundred seven million, six hundred thirty thousand, four hundred ninety-six".