103418400 has 144 divisors (see below), whose sum is σ = 345165408. Its totient is φ = 26880000.

The previous prime is 103418369. The next prime is 103418401. The reversal of 103418400 is 4814301.

103418400 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (103418401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97875 + ... + 98925.

It is an arithmetic number, because the mean of its divisors is an integer number (2396982).

Almost surely, 2^103418400 is an apocalyptic number.

103418400 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 103418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172582704).

103418400 is an abundant number, since it is smaller than the sum of its proper divisors (241747008).

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

103418400 is a wasteful number, since it uses less digits than its factorization.

103418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 103418400 is about 10169.4837627089. The cubic root of 103418400 is about 469.3886725237.

The spelling of 103418400 in words is "one hundred three million, four hundred eighteen thousand, four hundred".