13820100 has 72 divisors (see below), whose sum is σ = 45705408. Its totient is φ = 3158400.

The previous prime is 13820083. The next prime is 13820111. The reversal of 13820100 is 102831.

It is a happy number.

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 13820100.

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, 1191 + ... + 5390.

Almost surely, 2^13820100 is an apocalyptic number.

13820100 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 13820100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22852704).

13820100 is an abundant number, since it is smaller than the sum of its proper divisors (31885308).

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

13820100 is a wasteful number, since it uses less digits than its factorization.

13820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6598 counting only the distinct ones).

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

The square root of 13820100 is about 3717.5395088687. The cubic root of 13820100 is about 239.9774284328.

Adding to 13820100 its reverse (102831), we get a palindrome (13922931).

The spelling of 13820100 in words is "thirteen million, eight hundred twenty thousand, one hundred".