10113172668 has 144 divisors (see below), whose sum is σ = 27254223360. Its totient is φ = 3156249600.

The previous prime is 10113172661. The next prime is 10113172669. The reversal of 10113172668 is 86627131101.

10113172668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10113172668² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113172661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8174946 + ... + 8176182.

It is an arithmetic number, because the mean of its divisors is an integer number (189265440).

Almost surely, 2^10113172668 is an apocalyptic number.

10113172668 is a gapful number since it is divisible by the number (18) 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 10113172668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13627111680).

10113172668 is an abundant number, since it is smaller than the sum of its proper divisors (17141050692).

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

10113172668 is a wasteful number, since it uses less digits than its factorization.

10113172668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10113172668 in words is "ten billion, one hundred thirteen million, one hundred seventy-two thousand, six hundred sixty-eight".