103133324400 has 120 divisors (see below), whose sum is σ = 331107937200. Its totient is φ = 27440824320.

The previous prime is 103133324389. The next prime is 103133324419. The reversal of 103133324400 is 4423331301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443094 + ... + 634506.

It is an arithmetic number, because the mean of its divisors is an integer number (2759232810).

Almost surely, 2^103133324400 is an apocalyptic number.

103133324400 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 103133324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165553968600).

103133324400 is an abundant number, since it is smaller than the sum of its proper divisors (227974612800).

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

103133324400 is a wasteful number, since it uses less digits than its factorization.

103133324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191883 (or 191872 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103133324400 its reverse (4423331301), we get a palindrome (107556655701).

The spelling of 103133324400 in words is "one hundred three billion, one hundred thirty-three million, three hundred twenty-four thousand, four hundred".