100047882000 has 480 divisors, whose sum is σ = 373254860160. Its totient is φ = 22974336000.

The previous prime is 100047881987. The next prime is 100047882017. The reversal of 100047882000 is 288740001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13790374 + ... + 13797626.

It is an arithmetic number, because the mean of its divisors is an integer number (777614292).

Almost surely, 2^100047882000 is an apocalyptic number.

100047882000 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 100047882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186627430080).

100047882000 is an abundant number, since it is smaller than the sum of its proper divisors (273206978160).

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

100047882000 is a wasteful number, since it uses less digits than its factorization.

100047882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 100047882000 in words is "one hundred billion, forty-seven million, eight hundred eighty-two thousand".