100112400 has 90 divisors (see below), whose sum is σ = 347430330. Its totient is φ = 26695680.

The previous prime is 100112357. The next prime is 100112401. The reversal of 100112400 is 4211001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12278016 + 87834384 = 3504^2 + 9372^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10305 + ... + 17504.

It is an arithmetic number, because the mean of its divisors is an integer number (3860337).

Almost surely, 2^100112400 is an apocalyptic number.

100112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112400 is an abundant number, since it is smaller than the sum of its proper divisors (247317930).

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

100112400 is a wasteful number, since it uses less digits than its factorization.

100112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27833 (or 27819 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100112400 is about 10005.6184216669. The cubic root of 100112400 is about 464.3327231072.

Adding to 100112400 its reverse (4211001), we get a palindrome (104323401).

The spelling of 100112400 in words is "one hundred million, one hundred twelve thousand, four hundred".