13992100 has 18 divisors (see below), whose sum is σ = 30363074. Its totient is φ = 5596800.

The previous prime is 13992091. The next prime is 13992103. The reversal of 13992100 is 129931.

It can be written as a sum of positive squares in 3 ways, for example, as 272484 + 13719616 = 522^2 + 3704^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13992103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69861 + ... + 70060.

Almost surely, 2^13992100 is an apocalyptic number.

13992100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13992100 is an abundant number, since it is smaller than the sum of its proper divisors (16370974).

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

13992100 is a wasteful number, since it uses less digits than its factorization.

13992100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139935 (or 139928 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 13992100 is about 3740.6015558998. The cubic root of 13992100 is about 240.9688842595.

The spelling of 13992100 in words is "thirteen million, nine hundred ninety-two thousand, one hundred".