100410400 has 72 divisors (see below), whose sum is σ = 246523284. Its totient is φ = 39936000.

The previous prime is 100410397. The next prime is 100410413. The reversal of 100410400 is 4014001.

It can be written as a sum of positive squares in 6 ways, for example, as 35188624 + 65221776 = 5932^2 + 8076^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250200 + ... + 250600.

Almost surely, 2^100410400 is an apocalyptic number.

100410400 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 100410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123261642).

100410400 is an abundant number, since it is smaller than the sum of its proper divisors (146112884).

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

100410400 is a wasteful number, since it uses less digits than its factorization.

100410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100410400 is about 10020.4989895713. The cubic root of 100410400 is about 464.7929860507.

Adding to 100410400 its reverse (4014001), we get a palindrome (104424401).

The spelling of 100410400 in words is "one hundred million, four hundred ten thousand, four hundred".