100039374000 has 400 divisors, whose sum is σ = 377074526400. Its totient is φ = 25516339200.

The previous prime is 100039373989. The next prime is 100039374007. The reversal of 100039374000 is 473930001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100039374007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3712576 + ... + 3739424.

It is an arithmetic number, because the mean of its divisors is an integer number (942686316).

Almost surely, 2^100039374000 is an apocalyptic number.

100039374000 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 100039374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188537263200).

100039374000 is an abundant number, since it is smaller than the sum of its proper divisors (277035152400).

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

100039374000 is a wasteful number, since it uses less digits than its factorization.

100039374000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26907 (or 26882 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 100039374000 in words is "one hundred billion, thirty-nine million, three hundred seventy-four thousand".