13672100 has 54 divisors (see below), whose sum is σ = 32165910. Its totient is φ = 5041920.

The previous prime is 13672049. The next prime is 13672111. The reversal of 13672100 is 127631.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 5798464 + 7873636 = 2408^2 + 2806^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 16496 + ... + 17304.

It is an arithmetic number, because the mean of its divisors is an integer number (595665).

Almost surely, 2^13672100 is an apocalyptic number.

13672100 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 13672100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16082955).

13672100 is an abundant number, since it is smaller than the sum of its proper divisors (18493810).

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

13672100 is a wasteful number, since it uses less digits than its factorization.

13672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 13672100 is about 3697.5802898653. The cubic root of 13672100 is about 239.1177095636.

Adding to 13672100 its reverse (127631), we get a palindrome (13799731).

The spelling of 13672100 in words is "thirteen million, six hundred seventy-two thousand, one hundred".