100947906720 has 384 divisors, whose sum is σ = 378631169280. Its totient is φ = 25029181440.

The previous prime is 100947906707. The next prime is 100947906739. The reversal of 100947906720 is 27609749001.

100947906720 is a `hidden beast` number, since 100 + 9 + 479 + 0 + 6 + 72 + 0 = 666.

It is a super-3 number, since 3×100947906720³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6087240 + ... + 6103800.

It is an arithmetic number, because the mean of its divisors is an integer number (986018670).

Almost surely, 2^100947906720 is an apocalyptic number.

100947906720 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 100947906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189315584640).

100947906720 is an abundant number, since it is smaller than the sum of its proper divisors (277683262560).

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

100947906720 is a wasteful number, since it uses less digits than its factorization.

100947906720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16685 (or 16671 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 100947906720 in words is "one hundred billion, nine hundred forty-seven million, nine hundred six thousand, seven hundred twenty".