100872300816 has 405 divisors, whose sum is σ = 348336401751. Its totient is φ = 27166575744.

The previous prime is 100872300811. The next prime is 100872300817. The reversal of 100872300816 is 618003278001.

The square root of 100872300816 is 317604.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100872300811) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 506895885 + ... + 506896083.

Almost surely, 2^100872300816 is an apocalyptic number.

100872300816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

100872300816 is the 317604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100872300816

100872300816 is an abundant number, since it is smaller than the sum of its proper divisors (247464100935).

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

100872300816 is a wasteful number, since it uses less digits than its factorization.

100872300816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 100872300816 by its sum of digits (36), we get a square (3631402829376 = 1905624²).

100872300816 divided by its sum of digits (36) gives a square (2802008356 = 52934²).

Adding to 100872300816 its reverse (618003278001), we get a palindrome (718875578817).

The spelling of 100872300816 in words is "one hundred billion, eight hundred seventy-two million, three hundred thousand, eight hundred sixteen".