13706340100 has 72 divisors (see below), whose sum is σ = 32008841928. Its totient is φ = 5075404800.

The previous prime is 13706340097. The next prime is 13706340101. The reversal of 13706340100 is 104360731.

It can be written as a sum of positive squares in 12 ways, for example, as 7160882884 + 6545457216 = 84622^2 + 80904^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13706340101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37614 + ... + 169786.

It is an arithmetic number, because the mean of its divisors is an integer number (444567249).

Almost surely, 2^13706340100 is an apocalyptic number.

13706340100 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 13706340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16004420964).

13706340100 is an abundant number, since it is smaller than the sum of its proper divisors (18302501828).

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

13706340100 is a wasteful number, since it uses less digits than its factorization.

13706340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132265 (or 132258 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 13706340100 in words is "thirteen billion, seven hundred six million, three hundred forty thousand, one hundred".