100398113760 has 384 divisors, whose sum is σ = 370374488064. Its totient is φ = 22383820800.

The previous prime is 100398113729. The next prime is 100398113789. The reversal of 100398113760 is 67311893001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55744860 + ... + 55746660.

It is an arithmetic number, because the mean of its divisors is an integer number (964516896).

Almost surely, 2^100398113760 is an apocalyptic number.

100398113760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100398113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185187244032).

100398113760 is an abundant number, since it is smaller than the sum of its proper divisors (269976374304).

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

100398113760 is a wasteful number, since it uses less digits than its factorization.

100398113760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 100398113760 in words is "one hundred billion, three hundred ninety-eight million, one hundred thirteen thousand, seven hundred sixty".