100243752400 has 240 divisors, whose sum is σ = 266946057216. Its totient is φ = 35872000000.

The previous prime is 100243752397. The next prime is 100243752421. The reversal of 100243752400 is 4257342001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84879810 + ... + 84880990.

Almost surely, 2^100243752400 is an apocalyptic number.

100243752400 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 100243752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133473028608).

100243752400 is an abundant number, since it is smaller than the sum of its proper divisors (166702304816).

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

100243752400 is a wasteful number, since it uses less digits than its factorization.

100243752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 100243752400 in words is "one hundred billion, two hundred forty-three million, seven hundred fifty-two thousand, four hundred".