103222542400 has 84 divisors (see below), whose sum is σ = 254055318660. Its totient is φ = 41278720000.

The previous prime is 103222542389. The next prime is 103222542431. The reversal of 103222542400 is 4245222301.

103222542400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 45311082496 + 57911459904 = 212864^2 + 240648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12138150 + ... + 12146650.

Almost surely, 2^103222542400 is an apocalyptic number.

103222542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103222542400 is an abundant number, since it is smaller than the sum of its proper divisors (150832776260).

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

103222542400 is an equidigital number, since it uses as much as digits as its factorization.

103222542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16112 (or 16097 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 103222542400 its reverse (4245222301), we get a palindrome (107467764701).

The spelling of 103222542400 in words is "one hundred three billion, two hundred twenty-two million, five hundred forty-two thousand, four hundred".