100728804805200 has 3240 divisors, whose sum is σ = 445037512151232. Its totient is φ = 21020313600000.

The previous prime is 100728804805063. The next prime is 100728804805217. The reversal of 100728804805200 is 2508408827001.

It is a happy number.

100728804805200 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 2 + 8 + 80 + 48 + 0 + 520 + 0 = 666.

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 647 ways as a sum of consecutive naturals, for example, 69420264475 + ... + 69420265925.

Almost surely, 2^{100728804805200} is an apocalyptic number.

100728804805200 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 100728804805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222518756075616).

100728804805200 is an abundant number, since it is smaller than the sum of its proper divisors (344308707346032).

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

100728804805200 is a wasteful number, since it uses less digits than its factorization.

100728804805200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 100728804805200 in words is "one hundred trillion, seven hundred twenty-eight billion, eight hundred four million, eight hundred five thousand, two hundred".