105120084422112 has 192 divisors, whose sum is σ = 287065583400960. Its totient is φ = 33660977946624.

The previous prime is 105120084422063. The next prime is 105120084422131. The reversal of 105120084422112 is 211224480021501.

It is a super-2 number, since 2×105120084422112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51514314 + ... + 53516022.

It is an arithmetic number, because the mean of its divisors is an integer number (1495133246880).

Almost surely, 2^{105120084422112} is an apocalyptic number.

105120084422112 is a gapful number since it is divisible by the number (12) 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 105120084422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143532791700480).

105120084422112 is an abundant number, since it is smaller than the sum of its proper divisors (181945498978848).

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

105120084422112 is a wasteful number, since it uses less digits than its factorization.

105120084422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001985 (or 2001977 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 105120084422112 in words is "one hundred five trillion, one hundred twenty billion, eighty-four million, four hundred twenty-two thousand, one hundred twelve".