10023232400 has 60 divisors (see below), whose sum is σ = 24101591700. Its totient is φ = 4005834240.

The previous prime is 10023232397. The next prime is 10023232409. The reversal of 10023232400 is 423232001.

It can be written as a sum of positive squares in 6 ways, for example, as 2147024896 + 7876207504 = 46336^2 + 88748^2 .

It is not an unprimeable number, because it can be changed into a prime (10023232409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481406 + ... + 501794.

It is an arithmetic number, because the mean of its divisors is an integer number (401693195).

Almost surely, 2^10023232400 is an apocalyptic number.

10023232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023232400 is an abundant number, since it is smaller than the sum of its proper divisors (14078359300).

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

10023232400 is a wasteful number, since it uses less digits than its factorization.

10023232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21636 (or 21625 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 10023232400 its reverse (423232001), we get a palindrome (10446464401).

It can be divided in two parts, 100 and 23232400, that multiplied together give a square (2323240000 = 48200²).

The spelling of 10023232400 in words is "ten billion, twenty-three million, two hundred thirty-two thousand, four hundred".