108293077708816 has 1215 divisors, whose sum is σ = 306394819708887. Its totient is φ = 36923558031360.

The previous prime is 108293077708769. The next prime is 108293077708819. The reversal of 108293077708816 is 618807770392801.

The square root of 108293077708816 is 10406396.

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

It can be written as a sum of positive squares in 4 ways, for example, as 80812836243216 + 27480241465600 = 8989596^2 + 5242160^2 .

It is not an unprimeable number, because it can be changed into a prime (108293077708819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 958345820376 + ... + 958345820488.

Almost surely, 2^{108293077708816} is an apocalyptic number.

108293077708816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108293077708816 is the 10406396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108293077708816

108293077708816 is an abundant number, since it is smaller than the sum of its proper divisors (198101742000071).

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

108293077708816 is a wasteful number, since it uses less digits than its factorization.

108293077708816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 67.

The spelling of 108293077708816 in words is "one hundred eight trillion, two hundred ninety-three billion, seventy-seven million, seven hundred eight thousand, eight hundred sixteen".