23153100 has 72 divisors (see below), whose sum is σ = 67995648. Its totient is φ = 6081600.

The previous prime is 23153089. The next prime is 23153129. The reversal of 23153100 is 135132.

It is a happy number.

It is a super-2 number, since 2×23153100² = 1072132079220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23153100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20757 + ... + 21843.

It is an arithmetic number, because the mean of its divisors is an integer number (944384).

Almost surely, 2^23153100 is an apocalyptic number.

23153100 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 23153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33997824).

23153100 is an abundant number, since it is smaller than the sum of its proper divisors (44842548).

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

23153100 is a wasteful number, since it uses less digits than its factorization.

23153100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 23153100 is about 4811.7668272683. The cubic root of 23153100 is about 285.0163117780.

Adding to 23153100 its reverse (135132), we get a palindrome (23288232).

The spelling of 23153100 in words is "twenty-three million, one hundred fifty-three thousand, one hundred".