10233838800 has 90 divisors (see below), whose sum is σ = 35514275862. Its totient is φ = 2729022720.

The previous prime is 10233838787. The next prime is 10233838801. The reversal of 10233838800 is 883833201.

It can be written as a sum of positive squares in 3 ways, for example, as 68359824 + 10165478976 = 8268^2 + 100824^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233838801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1417767 + ... + 1424966.

Almost surely, 2^10233838800 is an apocalyptic number.

10233838800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233838800 is an abundant number, since it is smaller than the sum of its proper divisors (25280437062).

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

10233838800 is a wasteful number, since it uses less digits than its factorization.

10233838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842757 (or 2842743 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10233838800 in words is "ten billion, two hundred thirty-three million, eight hundred thirty-eight thousand, eight hundred".