100477006080 has 864 divisors, whose sum is σ = 372050122752. Its totient is φ = 23067770880.

The previous prime is 100477006067. The next prime is 100477006093. The reversal of 100477006080 is 80600774001.

It is an interprime number because it is at equal distance from previous prime (100477006067) and next prime (100477006093).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 939037387 + ... + 939037493.

It is an arithmetic number, because the mean of its divisors is an integer number (430613568).

Almost surely, 2^100477006080 is an apocalyptic number.

100477006080 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 100477006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186025061376).

100477006080 is an abundant number, since it is smaller than the sum of its proper divisors (271573116672).

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

100477006080 is a wasteful number, since it uses less digits than its factorization.

100477006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 100477006080 in words is "one hundred billion, four hundred seventy-seven million, six thousand, eighty".