103042400 has 72 divisors (see below), whose sum is σ = 253515024. Its totient is φ = 40896000.

The previous prime is 103042393. The next prime is 103042409. The reversal of 103042400 is 4240301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103042409) 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, 120374 + ... + 121226.

It is an arithmetic number, because the mean of its divisors is an integer number (3521042).

Almost surely, 2^103042400 is an apocalyptic number.

103042400 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 103042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126757512).

103042400 is an abundant number, since it is smaller than the sum of its proper divisors (150472624).

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

103042400 is a wasteful number, since it uses less digits than its factorization.

103042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 103042400 is about 10150.9802482322. The cubic root of 103042400 is about 468.8191269905.

Adding to 103042400 its reverse (4240301), we get a palindrome (107282701).

The spelling of 103042400 in words is "one hundred three million, forty-two thousand, four hundred".