100287005635600 has 405 divisors, whose sum is σ = 282404538622647. Its totient is φ = 34125025213440.

The previous prime is 100287005635571. The next prime is 100287005635651. The reversal of 100287005635600 is 6536500782001.

The square root of 100287005635600 is 10014340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19750309233424 + 80536696402176 = 4444132^2 + 8974224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 326667770647 + ... + 326667770953.

Almost surely, 2^{100287005635600} is an apocalyptic number.

100287005635600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100287005635600 is the 10014340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100287005635600

100287005635600 is an abundant number, since it is smaller than the sum of its proper divisors (182117532987047).

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

100287005635600 is an frugal number, since it uses more digits than its factorization.

100287005635600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 100287005635600 in words is "one hundred trillion, two hundred eighty-seven billion, five million, six hundred thirty-five thousand, six hundred".