10168346120 has 96 divisors (see below), whose sum is σ = 23533113600. Its totient is φ = 3953342976.

The previous prime is 10168346117. The next prime is 10168346131. The reversal of 10168346120 is 2164386101.

It is a super-2 number, since 2×10168346120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 21228041 + ... + 21228519.

It is an arithmetic number, because the mean of its divisors is an integer number (245136600).

Almost surely, 2^10168346120 is an apocalyptic number.

10168346120 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 10168346120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11766556800).

10168346120 is an abundant number, since it is smaller than the sum of its proper divisors (13364767480).

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

10168346120 is an equidigital number, since it uses as much as digits as its factorization.

10168346120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10168346120 in words is "ten billion, one hundred sixty-eight million, three hundred forty-six thousand, one hundred twenty".