13866100 has 18 divisors (see below), whose sum is σ = 30089654. Its totient is φ = 5546400.

The previous prime is 13866091. The next prime is 13866103. The reversal of 13866100 is 166831.

13866100 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 3 ways, for example, as 3290596 + 10575504 = 1814^2 + 3252^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13866103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69231 + ... + 69430.

Almost surely, 2^13866100 is an apocalyptic number.

13866100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13866100 is an abundant number, since it is smaller than the sum of its proper divisors (16223554).

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

13866100 is a wasteful number, since it uses less digits than its factorization.

13866100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138675 (or 138668 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 13866100 is about 3723.7212570223. The cubic root of 13866100 is about 240.2433873533.

The spelling of 13866100 in words is "thirteen million, eight hundred sixty-six thousand, one hundred".