108643431782656 has 81 divisors (see below), whose sum is σ = 217778102655841. Its totient is φ = 54093322382336.

The previous prime is 108643431782621. The next prime is 108643431782689. The reversal of 108643431782656 is 656287134346801.

The square root of 108643431782656 is 10423216.

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

It can be written as a sum of positive squares in only one way, i.e., 54538815801600 + 54104615981056 = 7385040^2 + 7355584^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43860891690 + ... + 43860894166.

Almost surely, 2^{108643431782656} is an apocalyptic number.

108643431782656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108643431782656 is the 10423216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108643431782656

108643431782656 is an abundant number, since it is smaller than the sum of its proper divisors (109134670873185).

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

108643431782656 is an frugal number, since it uses more digits than its factorization.

108643431782656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 64.

108643431782656 divided by its sum of digits (64) gives a square (1697553621604 = 1302902²).

The spelling of 108643431782656 in words is "one hundred eight trillion, six hundred forty-three billion, four hundred thirty-one million, seven hundred eighty-two thousand, six hundred fifty-six".