12534100 has 72 divisors (see below), whose sum is σ = 29482488. Its totient is φ = 4608000.

The previous prime is 12534089. The next prime is 12534107. The reversal of 12534100 is 143521.

12534100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 44944 + 12489156 = 212^2 + 3534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12534107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124050 + ... + 124150.

It is an arithmetic number, because the mean of its divisors is an integer number (409479).

Almost surely, 2^12534100 is an apocalyptic number.

12534100 is a gapful number since it is divisible by the number (10) 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 12534100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741244).

12534100 is an abundant number, since it is smaller than the sum of its proper divisors (16948388).

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

12534100 is a wasteful number, since it uses less digits than its factorization.

12534100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12534100 is about 3540.3530897355. The cubic root of 12534100 is about 232.2902876398.

Adding to 12534100 its reverse (143521), we get a palindrome (12677621).

It can be divided in two parts, 125 and 34100, that added together give a square (34225 = 185²).

The spelling of 12534100 in words is "twelve million, five hundred thirty-four thousand, one hundred".