103053840400 has 135 divisors (see below), whose sum is σ = 288134853111. Its totient is φ = 35317336320.

The previous prime is 103053840283. The next prime is 103053840413. The reversal of 103053840400 is 4048350301.

The square root of 103053840400 is 321020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12688670736 + 90365169664 = 112644^2 + 300608^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44941654 + ... + 44943946.

Almost surely, 2^103053840400 is an apocalyptic number.

103053840400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103053840400 is the 321020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103053840400

103053840400 is an abundant number, since it is smaller than the sum of its proper divisors (185081012711).

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

103053840400 is an frugal number, since it uses more digits than its factorization.

103053840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 103053840400 in words is "one hundred three billion, fifty-three million, eight hundred forty thousand, four hundred".