100400313400 has 24 divisors (see below), whose sum is σ = 233430729120. Its totient is φ = 40160125280.

The previous prime is 100400313373. The next prime is 100400313421. The reversal of 100400313400 is 4313004001.

100400313400 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 5 ways as a sum of consecutive naturals, for example, 251000584 + ... + 251000983.

It is an arithmetic number, because the mean of its divisors is an integer number (9726280380).

Almost surely, 2^100400313400 is an apocalyptic number.

100400313400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100400313400 is an abundant number, since it is smaller than the sum of its proper divisors (133030415720).

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

100400313400 is a wasteful number, since it uses less digits than its factorization.

100400313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502001583 (or 502001574 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100400313400 its reverse (4313004001), we get a palindrome (104713317401).

The spelling of 100400313400 in words is "one hundred billion, four hundred million, three hundred thirteen thousand, four hundred".