105936112 has 40 divisors (see below), whose sum is σ = 220606416. Its totient is φ = 49099776.

The previous prime is 105936079. The next prime is 105936121. The reversal of 105936112 is 211639501.

It is a super-2 number, since 2×105936112² = 22444919651353088, which 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 7 ways as a sum of consecutive naturals, for example, 15318 + ... + 21130.

Almost surely, 2^105936112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105936112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110303208).

105936112 is an abundant number, since it is smaller than the sum of its proper divisors (114670304).

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

105936112 is a wasteful number, since it uses less digits than its factorization.

105936112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 105936112 is about 10292.5269977785. The cubic root of 105936112 is about 473.1672489228.

The spelling of 105936112 in words is "one hundred five million, nine hundred thirty-six thousand, one hundred twelve".