100146400 has 36 divisors (see below), whose sum is σ = 244484352. Its totient is φ = 40058240.

The previous prime is 100146391. The next prime is 100146419. The reversal of 100146400 is 4641001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 61792 + ... + 63391.

It is an arithmetic number, because the mean of its divisors is an integer number (6791232).

Almost surely, 2^100146400 is an apocalyptic number.

100146400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100146400 is an abundant number, since it is smaller than the sum of its proper divisors (144337952).

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

100146400 is a wasteful number, since it uses less digits than its factorization.

100146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125203 (or 125190 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 100146400 is about 10007.3173228393. The cubic root of 100146400 is about 464.3852824495.

Adding to 100146400 its reverse (4641001), we get a palindrome (104787401).

The spelling of 100146400 in words is "one hundred million, one hundred forty-six thousand, four hundred".