23534628100 has 135 divisors (see below), whose sum is σ = 55296076927. Its totient is φ = 8694051520.

The previous prime is 23534628097. The next prime is 23534628101. The reversal of 23534628100 is 182643532.

The square root of 23534628100 is 153410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 323496196 + 23211131904 = 17986^2 + 152352^2 .

It is a super-2 number, since 2×23534628100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23534628101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 811538886 + ... + 811538914.

Almost surely, 2^23534628100 is an apocalyptic number.

23534628100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23534628100 is the 153410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23534628100

23534628100 is an abundant number, since it is smaller than the sum of its proper divisors (31761448827).

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

23534628100 is an frugal number, since it uses more digits than its factorization.

23534628100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 23534628100 in words is "twenty-three billion, five hundred thirty-four million, six hundred twenty-eight thousand, one hundred".