23052100 has 36 divisors (see below), whose sum is σ = 51754500. Its totient is φ = 8901760.

The previous prime is 23052097. The next prime is 23052103. The reversal of 23052100 is 125032.

It is an interprime number because it is at equal distance from previous prime (23052097) and next prime (23052103).

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 22600516 = 672^2 + 4754^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23052103) 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, 1075 + ... + 6874.

It is an arithmetic number, because the mean of its divisors is an integer number (1437625).

Almost surely, 2^23052100 is an apocalyptic number.

23052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23052100 is an abundant number, since it is smaller than the sum of its proper divisors (28702400).

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

23052100 is a wasteful number, since it uses less digits than its factorization.

23052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7992 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 23052100 is about 4801.2602512257. The cubic root of 23052100 is about 284.6012686150.

Adding to 23052100 its reverse (125032), we get a palindrome (23177132).

The spelling of 23052100 in words is "twenty-three million, fifty-two thousand, one hundred".