12345432100 has 81 divisors (see below), whose sum is σ = 27560627283. Its totient is φ = 4799952000.

The previous prime is 12345432097. The next prime is 12345432109. The reversal of 12345432100 is 123454321.

The square root of 12345432100 is 111110.

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

12345432100 is digitally balanced in base 2, 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 4 ways, for example, as 5196391396 + 7149040704 = 72086^2 + 84552^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12345432109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45554965 + ... + 45555235.

Almost surely, 2^12345432100 is an apocalyptic number.

12345432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12345432100 is the 111110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12345432100

12345432100 is an abundant number, since it is smaller than the sum of its proper divisors (15215195183).

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

12345432100 is an equidigital number, since it uses as much as digits as its factorization.

12345432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Multiplying 12345432100 by its sum of digits (25), we get a square (308635802500 = 555550²).

12345432100 divided by its sum of digits (25) gives a square (493817284 = 22222²).

Adding to 12345432100 its reverse (123454321), we get a palindrome (12468886421).

12345432100 divided by its reverse (123454321) gives a square (100 = 10²).

The spelling of 12345432100 in words is "twelve billion, three hundred forty-five million, four hundred thirty-two thousand, one hundred".