100739358720 has 2016 divisors, whose sum is σ = 492166290240. Its totient is φ = 19322634240.

The previous prime is 100739358703. The next prime is 100739358743. The reversal of 100739358720 is 27853937001.

It is a happy number.

100739358720 is a `hidden beast` number, since 10 + 0 + 7 + 39 + 3 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7749181434 + ... + 7749181446.

Almost surely, 2^100739358720 is an apocalyptic number.

100739358720 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 100739358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246083145120).

100739358720 is an abundant number, since it is smaller than the sum of its proper divisors (391426931520).

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

100739358720 is a wasteful number, since it uses less digits than its factorization.

100739358720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 100739358720 in words is "one hundred billion, seven hundred thirty-nine million, three hundred fifty-eight thousand, seven hundred twenty".