100232707047264 has 240 divisors, whose sum is σ = 322775424251280. Its totient is φ = 30260632458240.

The previous prime is 100232707047217. The next prime is 100232707047271. The reversal of 100232707047264 is 462740707232001.

100232707047264 is a `hidden beast` number, since 10 + 0 + 2 + 3 + 270 + 70 + 47 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1135422 + ... + 14204034.

It is an arithmetic number, because the mean of its divisors is an integer number (1344897601047).

Almost surely, 2^{100232707047264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100232707047264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161387712125640).

100232707047264 is an abundant number, since it is smaller than the sum of its proper divisors (222542717204016).

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

100232707047264 is a wasteful number, since it uses less digits than its factorization.

100232707047264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13068915 (or 13068898 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 100232707047264 in words is "one hundred trillion, two hundred thirty-two billion, seven hundred seven million, forty-seven thousand, two hundred sixty-four".