100134412400 has 120 divisors (see below), whose sum is σ = 262557254784. Its totient is φ = 36396691200.

The previous prime is 100134412397. The next prime is 100134412403. The reversal of 100134412400 is 4214431001.

It is an interprime number because it is at equal distance from previous prime (100134412397) and next prime (100134412403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100134412403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16026077 + ... + 16032323.

Almost surely, 2^100134412400 is an apocalyptic number.

100134412400 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 100134412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131278627392).

100134412400 is an abundant number, since it is smaller than the sum of its proper divisors (162422842384).

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

100134412400 is a wasteful number, since it uses less digits than its factorization.

100134412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100134412400 its reverse (4214431001), we get a palindrome (104348843401).

The spelling of 100134412400 in words is "one hundred billion, one hundred thirty-four million, four hundred twelve thousand, four hundred".