23102400100 has 36 divisors (see below), whose sum is σ = 53988534964. Its totient is φ = 8530116480.

The previous prime is 23102400091. The next prime is 23102400109. The reversal of 23102400100 is 100420132.

It is an interprime number because it is at equal distance from previous prime (23102400091) and next prime (23102400109).

It can be written as a sum of positive squares in 6 ways, for example, as 6114927204 + 16987472896 = 78198^2 + 130336^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (23102400109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8884239 + ... + 8886838.

Almost surely, 2^23102400100 is an apocalyptic number.

23102400100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23102400100 is an abundant number, since it is smaller than the sum of its proper divisors (30886134864).

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

23102400100 is a wasteful number, since it uses less digits than its factorization.

23102400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17771104 (or 17771097 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 23102400100 its reverse (100420132), we get a palindrome (23202820232).

The spelling of 23102400100 in words is "twenty-three billion, one hundred two million, four hundred thousand, one hundred".