105117210672 has 40 divisors (see below), whose sum is σ = 271574961840. Its totient is φ = 35036209920.

The previous prime is 105117210619. The next prime is 105117210677. The reversal of 105117210672 is 276012711501.

105117210672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105117210672² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105117210677) 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 7 ways as a sum of consecutive naturals, for example, 552222 + ... + 717762.

It is an arithmetic number, because the mean of its divisors is an integer number (6789374046).

Almost surely, 2^105117210672 is an apocalyptic number.

105117210672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105117210672 is an abundant number, since it is smaller than the sum of its proper divisors (166457751168).

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

105117210672 is a wasteful number, since it uses less digits than its factorization.

105117210672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178781 (or 178775 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 33.

The spelling of 105117210672 in words is "one hundred five billion, one hundred seventeen million, two hundred ten thousand, six hundred seventy-two".