105884916 has 48 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 32593792.

The previous prime is 105884903. The next prime is 105884923. The reversal of 105884916 is 619488501.

It is a super-2 number, since 2×105884916² = 22423230872654112, 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 15 ways as a sum of consecutive naturals, for example, 1390 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2^105884916 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 105884916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

105884916 is an abundant number, since it is smaller than the sum of its proper divisors (160831884).

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

105884916 is a wasteful number, since it uses less digits than its factorization.

105884916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13288 (or 13286 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 105884916 is about 10290.0396500694. The cubic root of 105884916 is about 473.0910137487.

The spelling of 105884916 in words is "one hundred five million, eight hundred eighty-four thousand, nine hundred sixteen".