100312004400 has 240 divisors, whose sum is σ = 323872437504. Its totient is φ = 26539453440.

The previous prime is 100312004393. The next prime is 100312004489. The reversal of 100312004400 is 4400213001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100312004400.

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, 102046309 + ... + 102047291.

Almost surely, 2^100312004400 is an apocalyptic number.

100312004400 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 100312004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161936218752).

100312004400 is an abundant number, since it is smaller than the sum of its proper divisors (223560433104).

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

100312004400 is a wasteful number, since it uses less digits than its factorization.

100312004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100312004400 its reverse (4400213001), we get a palindrome (104712217401).

The spelling of 100312004400 in words is "one hundred billion, three hundred twelve million, four thousand, four hundred".