100255686720 has 448 divisors, whose sum is σ = 370652405760. Its totient is φ = 22486966272.

The previous prime is 100255686719. The next prime is 100255686731. The reversal of 100255686720 is 27686552001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 96491961 + ... + 96492999.

It is an arithmetic number, because the mean of its divisors is an integer number (827349120).

Almost surely, 2^100255686720 is an apocalyptic number.

100255686720 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 100255686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185326202880).

100255686720 is an abundant number, since it is smaller than the sum of its proper divisors (270396719040).

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

100255686720 is a wasteful number, since it uses less digits than its factorization.

100255686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 100255686720 in words is "one hundred billion, two hundred fifty-five million, six hundred eighty-six thousand, seven hundred twenty".