10233100872 has 128 divisors (see below), whose sum is σ = 29289792000. Its totient is φ = 3308843520.

The previous prime is 10233100859. The next prime is 10233100873. The reversal of 10233100872 is 27800133201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10233100873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 956529 + ... + 967167.

It is an arithmetic number, because the mean of its divisors is an integer number (228826500).

Almost surely, 2^10233100872 is an apocalyptic number.

10233100872 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 10233100872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644896000).

10233100872 is an abundant number, since it is smaller than the sum of its proper divisors (19056691128).

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

10233100872 is a wasteful number, since it uses less digits than its factorization.

10233100872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10788 (or 10778 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10233100872 in words is "ten billion, two hundred thirty-three million, one hundred thousand, eight hundred seventy-two".