13799100 has 72 divisors (see below), whose sum is σ = 45635968. Its totient is φ = 3153600.

The previous prime is 13799089. The next prime is 13799129. The reversal of 13799100 is 199731.

13799100 = T₈₇ + T₈₈ + ... + T₄₃₆.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1186 + ... + 5385.

Almost surely, 2^13799100 is an apocalyptic number.

13799100 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 13799100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22817984).

13799100 is an abundant number, since it is smaller than the sum of its proper divisors (31836868).

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

13799100 is a wasteful number, since it uses less digits than its factorization.

13799100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 30.

The square root of 13799100 is about 3714.7139862983. The cubic root of 13799100 is about 239.8558161744.

The spelling of 13799100 in words is "thirteen million, seven hundred ninety-nine thousand, one hundred".