125325040100 has 72 divisors (see below), whose sum is σ = 293025489960. Its totient is φ = 46250081280.

The previous prime is 125325040097. The next prime is 125325040109. The reversal of 125325040100 is 1040523521.

125325040100 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 12 ways, for example, as 31870104484 + 93454935616 = 178522^2 + 305704^2 .

It is not an unprimeable number, because it can be changed into a prime (125325040109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2613944 + ... + 2661456.

Almost surely, 2^125325040100 is an apocalyptic number.

125325040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125325040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512744980).

125325040100 is an abundant number, since it is smaller than the sum of its proper divisors (167700449860).

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

125325040100 is a wasteful number, since it uses less digits than its factorization.

125325040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49569 (or 49562 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 125325040100 its reverse (1040523521), we get a palindrome (126365563621).

The spelling of 125325040100 in words is "one hundred twenty-five billion, three hundred twenty-five million, forty thousand, one hundred".