100355157745920 has 2592 divisors, whose sum is σ = 462778700267520. Its totient is φ = 19500505989120.

The previous prime is 100355157745903. The next prime is 100355157745943. The reversal of 100355157745920 is 29547751553001.

It is a happy number.

100355157745920 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 5 + 5 + 1 + 577 + 45 + 9 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25297491777 + ... + 25297495743.

Almost surely, 2^{100355157745920} is an apocalyptic number.

100355157745920 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 100355157745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231389350133760).

100355157745920 is an abundant number, since it is smaller than the sum of its proper divisors (362423542521600).

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

100355157745920 is a wasteful number, since it uses less digits than its factorization.

100355157745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 100355157745920 in words is "one hundred trillion, three hundred fifty-five billion, one hundred fifty-seven million, seven hundred forty-five thousand, nine hundred twenty".