13660100 has 18 divisors (see below), whose sum is σ = 29642634. Its totient is φ = 5464000.

The previous prime is 13660081. The next prime is 13660103. The reversal of 13660100 is 106631.

13660100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 293764 + 13366336 = 542^2 + 3656^2 .

It is not an unprimeable number, because it can be changed into a prime (13660103) 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, 68201 + ... + 68400.

It is an arithmetic number, because the mean of its divisors is an integer number (1646813).

Almost surely, 2^13660100 is an apocalyptic number.

13660100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13660100 is an abundant number, since it is smaller than the sum of its proper divisors (15982534).

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

13660100 is a wasteful number, since it uses less digits than its factorization.

13660100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136615 (or 136608 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13660100 is about 3695.9572508350. The cubic root of 13660100 is about 239.0477312277.

Adding to 13660100 its reverse (106631), we get a palindrome (13766731).

The spelling of 13660100 in words is "thirteen million, six hundred sixty thousand, one hundred".