103404400 has 120 divisors (see below), whose sum is σ = 275660928. Its totient is φ = 36960000.

The previous prime is 103404391. The next prime is 103404409. The reversal of 103404400 is 4404301.

It is an interprime number because it is at equal distance from previous prime (103404391) and next prime (103404409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103404409) 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 23 ways as a sum of consecutive naturals, for example, 312235 + ... + 312565.

Almost surely, 2^103404400 is an apocalyptic number.

103404400 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 103404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137830464).

103404400 is an abundant number, since it is smaller than the sum of its proper divisors (172256528).

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

103404400 is a wasteful number, since it uses less digits than its factorization.

103404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 103404400 is about 10168.7954055532. The cubic root of 103404400 is about 469.3674908063.

Adding to 103404400 its reverse (4404301), we get a palindrome (107808701).

Subtracting from 103404400 its reverse (4404301), we obtain a palindrome (99000099).

The spelling of 103404400 in words is "one hundred three million, four hundred four thousand, four hundred".