13968100 has 18 divisors (see below), whose sum is σ = 30310994. Its totient is φ = 5587200.

The previous prime is 13968091. The next prime is 13968113. The reversal of 13968100 is 186931.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10404 + 13957696 = 102^2 + 3736^2 .

It is a super-2 number, since 2×13968100² = 390215635220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69741 + ... + 69940.

Almost surely, 2^13968100 is an apocalyptic number.

13968100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13968100 is an abundant number, since it is smaller than the sum of its proper divisors (16342894).

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

13968100 is a wasteful number, since it uses less digits than its factorization.

13968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139695 (or 139688 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 13968100 is about 3737.3921389118. The cubic root of 13968100 is about 240.8310311624.

The spelling of 13968100 in words is "thirteen million, nine hundred sixty-eight thousand, one hundred".