100355814400 has 132 divisors (see below), whose sum is σ = 263395031148. Its totient is φ = 37780848640.

The previous prime is 100355814379. The next prime is 100355814437. The reversal of 100355814400 is 4418553001.

It can be written as a sum of positive squares in 6 ways, for example, as 10394210304 + 89961604096 = 101952^2 + 299936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319902 + ... + 550498.

Almost surely, 2^100355814400 is an apocalyptic number.

100355814400 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 100355814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131697515574).

100355814400 is an abundant number, since it is smaller than the sum of its proper divisors (163039216748).

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

100355814400 is a wasteful number, since it uses less digits than its factorization.

100355814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230644 (or 230621 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 100355814400 in words is "one hundred billion, three hundred fifty-five million, eight hundred fourteen thousand, four hundred".