13918100 has 72 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 4677120.

The previous prime is 13918067. The next prime is 13918109. The reversal of 13918100 is 181931.

It is a super-2 number, since 2×13918100² = 387427015220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13918109) by changing a digit.

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, 41132 + ... + 41468.

Almost surely, 2^13918100 is an apocalyptic number.

13918100 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 13918100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).

13918100 is an abundant number, since it is smaller than the sum of its proper divisors (21287980).

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

13918100 is a wasteful number, since it uses less digits than its factorization.

13918100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 13918100 is about 3730.6969858191. The cubic root of 13918100 is about 240.5433292293.

The spelling of 13918100 in words is "thirteen million, nine hundred eighteen thousand, one hundred".