107783516416 has 135 divisors (see below), whose sum is σ = 231857426563. Its totient is φ = 50007265280.

The previous prime is 107783516413. The next prime is 107783516417. The reversal of 107783516416 is 614615387701.

The square root of 107783516416 is 328304.

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

It can be written as a sum of positive squares in 2 ways, for example, as 33450946816 + 74332569600 = 182896^2 + 272640^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107783516416.

It is not an unprimeable number, because it can be changed into a prime (107783516413) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1518077661 + ... + 1518077731.

Almost surely, 2^107783516416 is an apocalyptic number.

107783516416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107783516416 is the 328304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107783516416

107783516416 is an abundant number, since it is smaller than the sum of its proper divisors (124073910147).

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

107783516416 is an frugal number, since it uses more digits than its factorization.

107783516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 107783516416 by its sum of digits (49), we get a square (5281392304384 = 2298128²).

The spelling of 107783516416 in words is "one hundred seven billion, seven hundred eighty-three million, five hundred sixteen thousand, four hundred sixteen".