107707363344 has 135 divisors (see below), whose sum is σ = 350734022847. Its totient is φ = 30765655872.

The previous prime is 107707363321. The next prime is 107707363367. The reversal of 107707363344 is 443363707701.

The square root of 107707363344 is 328188.

It is a perfect power (a square), and thus also a powerful number.

107707363344 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 0 + 7 + 3 + 633 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (107707363321) and next prime (107707363367).

It is a super-2 number, since 2×107707363344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107707363344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27565839 + ... + 27569745.

Almost surely, 2^107707363344 is an apocalyptic number.

107707363344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107707363344 is the 328188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107707363344

107707363344 is an abundant number, since it is smaller than the sum of its proper divisors (243026659503).

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

107707363344 is an frugal number, since it uses more digits than its factorization.

107707363344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 107707363344 in words is "one hundred seven billion, seven hundred seven million, three hundred sixty-three thousand, three hundred forty-four".