100482136800 has 144 divisors (see below), whose sum is σ = 328961288880. Its totient is φ = 26640240640.

The previous prime is 100482136763. The next prime is 100482136841. The reversal of 100482136800 is 8631284001.

100482136800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294196 + ... + 536204.

It is an arithmetic number, because the mean of its divisors is an integer number (2284453395).

Almost surely, 2^100482136800 is an apocalyptic number.

100482136800 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 100482136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164480644440).

100482136800 is an abundant number, since it is smaller than the sum of its proper divisors (228479152080).

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

100482136800 is a wasteful number, since it uses less digits than its factorization.

100482136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242205 (or 242192 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 100482136800 in words is "one hundred billion, four hundred eighty-two million, one hundred thirty-six thousand, eight hundred".