100872301600 has 432 divisors, whose sum is σ = 305095238280. Its totient is φ = 32359219200.

The previous prime is 100872301567. The next prime is 100872301639. The reversal of 100872301600 is 6103278001.

It can be written as a sum of positive squares in 12 ways, for example, as 53503390864 + 47368910736 = 231308^2 + 217644^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152605270 + ... + 152605930.

Almost surely, 2^100872301600 is an apocalyptic number.

100872301600 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 100872301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152547619140).

100872301600 is an abundant number, since it is smaller than the sum of its proper divisors (204222936680).

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

100872301600 is a wasteful number, since it uses less digits than its factorization.

100872301600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 100872301600 its reverse (6103278001), we get a palindrome (106975579601).

The spelling of 100872301600 in words is "one hundred billion, eight hundred seventy-two million, three hundred one thousand, six hundred".