13802100 has 72 divisors (see below), whose sum is σ = 43018080. Its totient is φ = 3396480.

The previous prime is 13802083. The next prime is 13802123. The reversal of 13802100 is 120831.

It is a happy number.

13802100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13802100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2131 + ... + 5669.

Almost surely, 2^13802100 is an apocalyptic number.

13802100 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 13802100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21509040).

13802100 is an abundant number, since it is smaller than the sum of its proper divisors (29215980).

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

13802100 is a wasteful number, since it uses less digits than its factorization.

13802100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 13802100 is about 3715.1177639477. The cubic root of 13802100 is about 239.8731969048.

Adding to 13802100 its reverse (120831), we get a palindrome (13922931).

The spelling of 13802100 in words is "thirteen million, eight hundred two thousand, one hundred".