13722100 has 36 divisors (see below), whose sum is σ = 34032544. Its totient is φ = 4704480.

The previous prime is 13722097. The next prime is 13722103. The reversal of 13722100 is 122731.

It is a happy number.

13722100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13722097) and next prime (13722103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13722103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9102 + ... + 10501.

Almost surely, 2^13722100 is an apocalyptic number.

13722100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13722100 is an abundant number, since it is smaller than the sum of its proper divisors (20310444).

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

13722100 is a wasteful number, since it uses less digits than its factorization.

13722100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19624 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 13722100 is about 3704.3352979988. The cubic root of 13722100 is about 239.4088460255.

Adding to 13722100 its reverse (122731), we get a palindrome (13844831).

It can be divided in two parts, 1372 and 2100, that multiplied together give a triangular number (2881200 = T₂₄₀₀).

The spelling of 13722100 in words is "thirteen million, seven hundred twenty-two thousand, one hundred".