13687706096100 has 81 divisors (see below), whose sum is σ = 42903702227113. Its totient is φ = 3650025361440.

The previous prime is 13687706096069. The next prime is 13687706096117. The reversal of 13687706096100 is 169060778631.

It is a happy number.

The square root of 13687706096100 is 3699690.

It is a perfect power (a square), and thus also a powerful number.

13687706096100 is a `hidden beast` number, since 13 + 6 + 8 + 7 + 7 + 0 + 6 + 0 + 9 + 610 + 0 = 666.

13687706096100 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 only one way, i.e., 4927574194596 + 8760131901504 = 2219814^2 + 2959752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110929039 + ... + 111052361.

Almost surely, 2^{13687706096100} is an apocalyptic number.

13687706096100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13687706096100 is the 3699690-th square number.

It is an amenable number.

13687706096100 is an abundant number, since it is smaller than the sum of its proper divisors (29215996131013).

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

13687706096100 is an frugal number, since it uses more digits than its factorization.

13687706096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246666 (or 123333 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 13687706096100 in words is "thirteen trillion, six hundred eighty-seven billion, seven hundred six million, ninety-six thousand, one hundred".