13698690100 has 72 divisors (see below), whose sum is σ = 31501733760. Its totient is φ = 5152734720.

The previous prime is 13698690059. The next prime is 13698690101. The reversal of 13698690100 is 109689631.

It is a super-2 number, since 2×13698690100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13698690101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2525191 + ... + 2530609.

It is an arithmetic number, because the mean of its divisors is an integer number (437524080).

Almost surely, 2^13698690100 is an apocalyptic number.

13698690100 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 13698690100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750866880).

13698690100 is an abundant number, since it is smaller than the sum of its proper divisors (17803043660).

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

13698690100 is a wasteful number, since it uses less digits than its factorization.

13698690100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 13698690100 in words is "thirteen billion, six hundred ninety-eight million, six hundred ninety thousand, one hundred".