100252124532 has 72 divisors (see below), whose sum is σ = 306653570496. Its totient is φ = 26958553344.

The previous prime is 100252124377. The next prime is 100252124537. The reversal of 100252124532 is 235421252001.

100252124532 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 2 + 124 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100252124496 and 100252124505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100252124537) 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, 11696478 + ... + 11705045.

It is an arithmetic number, because the mean of its divisors is an integer number (4259077368).

Almost surely, 2^100252124532 is an apocalyptic number.

100252124532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100252124532 is an abundant number, since it is smaller than the sum of its proper divisors (206401445964).

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

100252124532 is a wasteful number, since it uses less digits than its factorization.

100252124532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23401557 (or 23401552 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 100252124532 its reverse (235421252001), we get a palindrome (335673376533).

The spelling of 100252124532 in words is "one hundred billion, two hundred fifty-two million, one hundred twenty-four thousand, five hundred thirty-two".