103398400 has 132 divisors (see below), whose sum is σ = 293425168. Its totient is φ = 35389440.

The previous prime is 103398397. The next prime is 103398413. The reversal of 103398400 is 4893301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178912 + ... + 179488.

Almost surely, 2^103398400 is an apocalyptic number.

103398400 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 103398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146712584).

103398400 is an abundant number, since it is smaller than the sum of its proper divisors (190026768).

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

103398400 is an equidigital number, since it uses as much as digits as its factorization.

103398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 103398400 is about 10168.5003810788. The cubic root of 103398400 is about 469.3584123421.

The spelling of 103398400 in words is "one hundred three million, three hundred ninety-eight thousand, four hundred".