13678172100 has 54 divisors (see below), whose sum is σ = 42873473370. Its totient is φ = 3647512320.

The previous prime is 13678172083. The next prime is 13678172113. The reversal of 13678172100 is 127187631.

13678172100 is a `hidden beast` number, since 1 + 367 + 81 + 7 + 210 + 0 = 666.

13678172100 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 57881664 + 13620290436 = 7608^2 + 116706^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7598085 + ... + 7599884.

Almost surely, 2^13678172100 is an apocalyptic number.

13678172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13678172100 is an abundant number, since it is smaller than the sum of its proper divisors (29195301270).

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

13678172100 is a wasteful number, since it uses less digits than its factorization.

13678172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15197989 (or 15197979 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 13678172100 in words is "thirteen billion, six hundred seventy-eight million, one hundred seventy-two thousand, one hundred".