100134400 has 60 divisors (see below), whose sum is σ = 248122512. Its totient is φ = 40048640.

The previous prime is 100134373. The next prime is 100134409. The reversal of 100134400 is 4431001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100134409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8889 + ... + 16711.

Almost surely, 2^100134400 is an apocalyptic number.

100134400 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 100134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124061256).

100134400 is an abundant number, since it is smaller than the sum of its proper divisors (147988112).

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

100134400 is an frugal number, since it uses more digits than its factorization.

100134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7851 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100134400 is about 10006.7177435960. The cubic root of 100134400 is about 464.3667334520.

Adding to 100134400 its reverse (4431001), we get a palindrome (104565401).

The spelling of 100134400 in words is "one hundred million, one hundred thirty-four thousand, four hundred".