13868100 has 108 divisors (see below), whose sum is σ = 45813040. Its totient is φ = 3499200.

The previous prime is 13868089. The next prime is 13868117. The reversal of 13868100 is 186831.

It is a super-2 number, since 2×13868100² = 384648395220000, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 16695 + ... + 17505.

Almost surely, 2^13868100 is an apocalyptic number.

13868100 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 13868100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22906520).

13868100 is an abundant number, since it is smaller than the sum of its proper divisors (31944940).

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

13868100 is a wasteful number, since it uses less digits than its factorization.

13868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 13868100 is about 3723.9897959044. The cubic root of 13868100 is about 240.2549374329.

The spelling of 13868100 in words is "thirteen million, eight hundred sixty-eight thousand, one hundred".