103246542400 has 189 divisors, whose sum is σ = 264066782889. Its totient is φ = 39730575360.

The previous prime is 103246542353. The next prime is 103246542401. The reversal of 103246542400 is 4245642301.

The square root of 103246542400 is 321320.

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

It can be written as a sum of positive squares in 13 ways, for example, as 93601731136 + 9644811264 = 305944^2 + 98208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103246542401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 372731062 + ... + 372731338.

Almost surely, 2^103246542400 is an apocalyptic number.

103246542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103246542400 is the 321320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103246542400

103246542400 is an abundant number, since it is smaller than the sum of its proper divisors (160820240489).

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

103246542400 is an frugal number, since it uses more digits than its factorization.

103246542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Subtracting from 103246542400 its reverse (4245642301), we obtain a palindrome (99000900099).

The spelling of 103246542400 in words is "one hundred three billion, two hundred forty-six million, five hundred forty-two thousand, four hundred".