103338400 has 72 divisors (see below), whose sum is σ = 275232384. Its totient is φ = 37574400.

The previous prime is 103338377. The next prime is 103338401. The reversal of 103338400 is 4833301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (103338401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2929 + ... + 14671.

It is an arithmetic number, because the mean of its divisors is an integer number (3822672).

Almost surely, 2^103338400 is an apocalyptic number.

103338400 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 103338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137616192).

103338400 is an abundant number, since it is smaller than the sum of its proper divisors (171893984).

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

103338400 is a wasteful number, since it uses less digits than its factorization.

103338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11774 (or 11761 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 103338400 is about 10165.5496654141. The cubic root of 103338400 is about 469.2676083784.

The spelling of 103338400 in words is "one hundred three million, three hundred thirty-eight thousand, four hundred".