100806048000 has 864 divisors, whose sum is σ = 428185884672. Its totient is φ = 22284288000.

The previous prime is 100806047981. The next prime is 100806048029. The reversal of 100806048000 is 840608001.

100806048000 is a `hidden beast` number, since 100 + 80 + 6 + 0 + 480 + 0 + 0 = 666.

It is a congruent number.

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, 62495194 + ... + 62496806.

Almost surely, 2^100806048000 is an apocalyptic number.

100806048000 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 100806048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214092942336).

100806048000 is an abundant number, since it is smaller than the sum of its proper divisors (327379836672).

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

100806048000 is a wasteful number, since it uses less digits than its factorization.

100806048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 100806048000 in words is "one hundred billion, eight hundred six million, forty-eight thousand".