12643100 has 54 divisors (see below), whose sum is σ = 28800240. Its totient is φ = 4817120.

The previous prime is 12643049. The next prime is 12643109. The reversal of 12643100 is 134621.

It is a super-2 number, since 2×12643100² = 319695955220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12643109) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 52781 + ... + 53019.

Almost surely, 2^12643100 is an apocalyptic number.

12643100 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 12643100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400120).

12643100 is an abundant number, since it is smaller than the sum of its proper divisors (16157140).

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

12643100 is a wasteful number, since it uses less digits than its factorization.

12643100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 12643100 is about 3555.7137117603. The cubic root of 12643100 is about 232.9616986537.

Adding to 12643100 its reverse (134621), we get a palindrome (12777721).

The spelling of 12643100 in words is "twelve million, six hundred forty-three thousand, one hundred".