23002100 has 54 divisors (see below), whose sum is σ = 54893622. Its totient is φ = 8360000.

The previous prime is 23002099. The next prime is 23002117. The reversal of 23002100 is 120032.

It can be written as a sum of positive squares in 3 ways, for example, as 484 + 23001616 = 22^2 + 4796^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11150 + ... + 13050.

Almost surely, 2^23002100 is an apocalyptic number.

23002100 is a gapful number since it is divisible by the number (20) 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 23002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27446811).

23002100 is an abundant number, since it is smaller than the sum of its proper divisors (31891522).

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

23002100 is a wasteful number, since it uses less digits than its factorization.

23002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 23002100 is about 4796.0504584502. The cubic root of 23002100 is about 284.3953529691.

Adding to 23002100 its reverse (120032), we get a palindrome (23122132).

The spelling of 23002100 in words is "twenty-three million, two thousand, one hundred".