100232072440452 has 528 divisors, whose sum is σ = 282714302209920. Its totient is φ = 30998740953600.

The previous prime is 100232072440441. The next prime is 100232072440459. The reversal of 100232072440452 is 254044270232001.

100232072440452 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 207 + 2 + 440 + 4 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100232072440459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 76924076433 + ... + 76924077735.

Almost surely, 2^{100232072440452} is an apocalyptic number.

100232072440452 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 100232072440452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141357151104960).

100232072440452 is an abundant number, since it is smaller than the sum of its proper divisors (182482229769468).

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

100232072440452 is a wasteful number, since it uses less digits than its factorization.

100232072440452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 100232072440452 in words is "one hundred trillion, two hundred thirty-two billion, seventy-two million, four hundred forty thousand, four hundred fifty-two".