100500840720 has 1200 divisors, whose sum is σ = 438877802880. Its totient is φ = 20801691648.

The previous prime is 100500840691. The next prime is 100500840721. The reversal of 100500840720 is 27048005001.

100500840720 is a `hidden beast` number, since 10 + 0 + 500 + 84 + 0 + 72 + 0 = 666.

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 (100500840721) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1703404051 + ... + 1703404109.

Almost surely, 2^100500840720 is an apocalyptic number.

100500840720 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 100500840720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219438901440).

100500840720 is an abundant number, since it is smaller than the sum of its proper divisors (338376962160).

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

100500840720 is a wasteful number, since it uses less digits than its factorization.

100500840720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 100500840720 its reverse (27048005001), we get a palindrome (127548845721).

The spelling of 100500840720 in words is "one hundred billion, five hundred million, eight hundred forty thousand, seven hundred twenty".