100899052800 has 1728 divisors, whose sum is σ = 449651220480. Its totient is φ = 19322634240.

The previous prime is 100899052781. The next prime is 100899052831. The reversal of 100899052800 is 8250998001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1277203161 + ... + 1277203239.

Almost surely, 2^100899052800 is an apocalyptic number.

100899052800 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 100899052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224825610240).

100899052800 is an abundant number, since it is smaller than the sum of its proper divisors (348752167680).

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

100899052800 is a wasteful number, since it uses less digits than its factorization.

100899052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 100899052800 in words is "one hundred billion, eight hundred ninety-nine million, fifty-two thousand, eight hundred".