13710068100 has 135 divisors (see below), whose sum is σ = 44476811071. Its totient is φ = 3653208000.

The previous prime is 13710068083. The next prime is 13710068107. The reversal of 13710068100 is 186001731.

The square root of 13710068100 is 117090.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8252995716 + 5457072384 = 90846^2 + 73872^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×13710068100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13710068107) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10537450 + ... + 10538750.

Almost surely, 2^13710068100 is an apocalyptic number.

13710068100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13710068100 is the 117090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13710068100

13710068100 is an abundant number, since it is smaller than the sum of its proper divisors (30766742971).

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

13710068100 is an equidigital number, since it uses as much as digits as its factorization.

13710068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 13710068100 its reverse (186001731), we get a palindrome (13896069831).

The spelling of 13710068100 in words is "thirteen billion, seven hundred ten million, sixty-eight thousand, one hundred".