23289812100 has 81 divisors (see below), whose sum is σ = 73014975397. Its totient is φ = 6209395680.

The previous prime is 23289812089. The next prime is 23289812111. The reversal of 23289812100 is 121898232.

The square root of 23289812100 is 152610.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (23289812089) and next prime (23289812111).

It can be written as a sum of positive squares in only one way, i.e., 8384332356 + 14905479744 = 91566^2 + 122088^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4575757 + ... + 4580843.

Almost surely, 2^23289812100 is an apocalyptic number.

23289812100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23289812100 is the 152610-th square number.

It is an amenable number.

23289812100 is an abundant number, since it is smaller than the sum of its proper divisors (49725163297).

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

23289812100 is an equidigital number, since it uses as much as digits as its factorization.

23289812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 23289812100 by its sum of digits (36), we get a square (838433235600 = 915660²).

23289812100 divided by its sum of digits (36) gives a square (646939225 = 25435²).

The spelling of 23289812100 in words is "twenty-three billion, two hundred eighty-nine million, eight hundred twelve thousand, one hundred".