100540325232 has 120 divisors (see below), whose sum is σ = 287509098240. Its totient is φ = 32783368320.

The previous prime is 100540325227. The next prime is 100540325267. The reversal of 100540325232 is 232523045001.

It is a happy number.

100540325232 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 403 + 25 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100540325196 and 100540325205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25574307 + ... + 25578237.

It is an arithmetic number, because the mean of its divisors is an integer number (2395909152).

Almost surely, 2^100540325232 is an apocalyptic number.

100540325232 is a gapful number since it is divisible by the number (12) 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 100540325232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143754549120).

100540325232 is an abundant number, since it is smaller than the sum of its proper divisors (186968773008).

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

100540325232 is a wasteful number, since it uses less digits than its factorization.

100540325232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 100540325232 in words is "one hundred billion, five hundred forty million, three hundred twenty-five thousand, two hundred thirty-two".