12546240100 has 81 divisors (see below), whose sum is σ = 28519077657. Its totient is φ = 4790443680.

The previous prime is 12546240089. The next prime is 12546240103. The reversal of 12546240100 is 104264521.

It is a happy number.

The square root of 12546240100 is 112010.

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

It can be written as a sum of positive squares in only one way, i.e., 4516646436 + 8029593664 = 67206^2 + 89608^2 .

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 (12546240103) 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, 25762057 + ... + 25762543.

Almost surely, 2^12546240100 is an apocalyptic number.

12546240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12546240100 is the 112010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12546240100

12546240100 is an abundant number, since it is smaller than the sum of its proper divisors (15972837557).

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

12546240100 is an equidigital number, since it uses as much as digits as its factorization.

12546240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Multiplying 12546240100 by its sum of digits (25), we get a square (313656002500 = 560050²).

12546240100 divided by its sum of digits (25) gives a square (501849604 = 22402²).

The spelling of 12546240100 in words is "twelve billion, five hundred forty-six million, two hundred forty thousand, one hundred".