105050112 has 104 divisors (see below), whose sum is σ = 286226304. Its totient is φ = 34258944.

The previous prime is 105050087. The next prime is 105050117. The reversal of 105050112 is 211050501.

It is a super-2 number, since 2×105050112² = 22071052062425088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105050091 and 105050100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105050117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019853 + ... + 1019955.

It is an arithmetic number, because the mean of its divisors is an integer number (2752176).

Almost surely, 2^105050112 is an apocalyptic number.

105050112 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 105050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143113152).

105050112 is an abundant number, since it is smaller than the sum of its proper divisors (181176192).

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

105050112 is an equidigital number, since it uses as much as digits as its factorization.

105050112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 105050112 is about 10249.3956895029. The cubic root of 105050112 is about 471.8444378668.

The spelling of 105050112 in words is "one hundred five million, fifty thousand, one hundred twelve".