100730762325072 has 120 divisors (see below), whose sum is σ = 307544685353568. Its totient is φ = 30523419782400.

The previous prime is 100730762325023. The next prime is 100730762325077. The reversal of 100730762325072 is 270523267037001.

It is a happy number.

100730762325072 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 307 + 6 + 23 + 250 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100730762325077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45428122 + ... + 47593862.

Almost surely, 2^{100730762325072} is an apocalyptic number.

100730762325072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100730762325072 is an abundant number, since it is smaller than the sum of its proper divisors (206813923028496).

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

100730762325072 is a wasteful number, since it uses less digits than its factorization.

100730762325072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195129 (or 2195120 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 100730762325072 in words is "one hundred trillion, seven hundred thirty billion, seven hundred sixty-two million, three hundred twenty-five thousand, seventy-two".