10233806100 has 144 divisors (see below), whose sum is σ = 33948743808. Its totient is φ = 2331624960.

The previous prime is 10233806083. The next prime is 10233806137. The reversal of 10233806100 is 160833201.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 658014 + ... + 673386.

Almost surely, 2^10233806100 is an apocalyptic number.

10233806100 is a gapful number since it is divisible by the number (10) 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 10233806100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974371904).

10233806100 is an abundant number, since it is smaller than the sum of its proper divisors (23714937708).

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

10233806100 is a wasteful number, since it uses less digits than its factorization.

10233806100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15714 (or 15707 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 10233806100 in words is "ten billion, two hundred thirty-three million, eight hundred six thousand, one hundred".