100814572097316 has 729 divisors, whose sum is σ = 330603174032859. Its totient is φ = 25808476478400.

The previous prime is 100814572097299. The next prime is 100814572097363. The reversal of 100814572097316 is 613790275418001.

The square root of 100814572097316 is 10040646.

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

100814572097316 is a `hidden beast` number, since 1 + 0 + 0 + 81 + 45 + 7 + 209 + 7 + 316 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 477794180451 + ... + 477794180661.

It is a 1-persistent number, because it is pandigital, but 2⋅100814572097316 = 201629144194632 is not.

Almost surely, 2^{100814572097316} is an apocalyptic number.

100814572097316 is the 10040646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100814572097316

100814572097316 is an abundant number, since it is smaller than the sum of its proper divisors (229788601935543).

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

100814572097316 is a wasteful number, since it uses less digits than its factorization.

100814572097316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 100814572097316 in words is "one hundred trillion, eight hundred fourteen billion, five hundred seventy-two million, ninety-seven thousand, three hundred sixteen".