100032744400 has 120 divisors (see below), whose sum is σ = 242946950400. Its totient is φ = 39578457600.

The previous prime is 100032744389. The next prime is 100032744421. The reversal of 100032744400 is 4447230001.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 31346805 + ... + 31349995.

It is an arithmetic number, because the mean of its divisors is an integer number (2024557920).

Almost surely, 2^100032744400 is an apocalyptic number.

100032744400 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 100032744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121473475200).

100032744400 is an abundant number, since it is smaller than the sum of its proper divisors (142914206000).

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

100032744400 is a wasteful number, since it uses less digits than its factorization.

100032744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

Adding to 100032744400 its reverse (4447230001), we get a palindrome (104479974401).

The spelling of 100032744400 in words is "one hundred billion, thirty-two million, seven hundred forty-four thousand, four hundred".