103484800 has 96 divisors (see below), whose sum is σ = 259726680. Its totient is φ = 40734720.

The previous prime is 103484767. The next prime is 103484803. The reversal of 103484800 is 8484301.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103484803) 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, 233379 + ... + 233821.

Almost surely, 2^103484800 is an apocalyptic number.

103484800 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 103484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129863340).

103484800 is an abundant number, since it is smaller than the sum of its proper divisors (156241880).

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

103484800 is an equidigital number, since it uses as much as digits as its factorization.

103484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 103484800 is about 10172.7479080138. The cubic root of 103484800 is about 469.4891083580.

The spelling of 103484800 in words is "one hundred three million, four hundred eighty-four thousand, eight hundred".