105267828028168 has 32 divisors (see below), whose sum is σ = 213202212773760. Its totient is φ = 48438368447040.

The previous prime is 105267828028109. The next prime is 105267828028183. The reversal of 105267828028168 is 861820828762501.

It is a super-2 number, since 2×105267828028168² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1528954480 + ... + 1529023327.

It is an arithmetic number, because the mean of its divisors is an integer number (6662569149180).

Almost surely, 2^{105267828028168} is an apocalyptic number.

It is an amenable number.

105267828028168 is an abundant number, since it is smaller than the sum of its proper divisors (107934384745592).

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

105267828028168 is a wasteful number, since it uses less digits than its factorization.

105267828028168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057978157 (or 3057978153 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 64.

The spelling of 105267828028168 in words is "one hundred five trillion, two hundred sixty-seven billion, eight hundred twenty-eight million, twenty-eight thousand, one hundred sixty-eight".