100323010400 has 72 divisors (see below), whose sum is σ = 245696633784. Its totient is φ = 40000896000.

The previous prime is 100323010387. The next prime is 100323010421. The reversal of 100323010400 is 4010323001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50075 + ... + 450725.

It is an arithmetic number, because the mean of its divisors is an integer number (3412453247).

Almost surely, 2^100323010400 is an apocalyptic number.

100323010400 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 100323010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122848316892).

100323010400 is an abundant number, since it is smaller than the sum of its proper divisors (145373623384).

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

100323010400 is a wasteful number, since it uses less digits than its factorization.

100323010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400984 (or 400971 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100323010400 its reverse (4010323001), we get a palindrome (104333333401).

The spelling of 100323010400 in words is "one hundred billion, three hundred twenty-three million, ten thousand, four hundred".