100841812232 has 108 divisors (see below), whose sum is σ = 225787698045. Its totient is φ = 42099680448.

The previous prime is 100841812223. The next prime is 100841812249. The reversal of 100841812232 is 232218148001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 100650100516 + 191711716 = 317254^2 + 13846^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=224546.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 270353198 + ... + 270353570.

Almost surely, 2^100841812232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100841812232

100841812232 is an abundant number, since it is smaller than the sum of its proper divisors (124945885813).

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

100841812232 is an frugal number, since it uses more digits than its factorization.

100841812232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

Multiplying 100841812232 by its sum of digits (32), we get a square (3226937991424 = 1796368²).

The spelling of 100841812232 in words is "one hundred billion, eight hundred forty-one million, eight hundred twelve thousand, two hundred thirty-two".