100039056143104 has 288 divisors, whose sum is σ = 227789962283520. Its totient is φ = 43467414994944.

The previous prime is 100039056143093. The next prime is 100039056143153. The reversal of 100039056143104 is 401341650930001.

It is a super-2 number, since 2×100039056143104² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7705381797 + ... + 7705394779.

It is an arithmetic number, because the mean of its divisors is an integer number (790937369040).

Almost surely, 2^{100039056143104} 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 100039056143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113894981141760).

100039056143104 is an abundant number, since it is smaller than the sum of its proper divisors (127750906140416).

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

100039056143104 is a wasteful number, since it uses less digits than its factorization.

100039056143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13787 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 100039056143104 in words is "one hundred trillion, thirty-nine billion, fifty-six million, one hundred forty-three thousand, one hundred four".