100458396720 has 480 divisors, whose sum is σ = 385464328704. Its totient is φ = 24111820800.

The previous prime is 100458396719. The next prime is 100458396739. The reversal of 100458396720 is 27693854001.

100458396720 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 583 + 9 + 67 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22023240 + ... + 22027800.

It is a 1-persistent number, because it is pandigital, but 2⋅100458396720 = 200916793440 is not.

Almost surely, 2^100458396720 is an apocalyptic number.

100458396720 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 100458396720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192732164352).

100458396720 is an abundant number, since it is smaller than the sum of its proper divisors (285005931984).

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

100458396720 is a wasteful number, since it uses less digits than its factorization.

100458396720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 100458396720 in words is "one hundred billion, four hundred fifty-eight million, three hundred ninety-six thousand, seven hundred twenty".