105442116 has 48 divisors (see below), whose sum is σ = 266556864. Its totient is φ = 32247936.

The previous prime is 105442111. The next prime is 105442151. The reversal of 105442116 is 611244501.

It is a happy number.

It is a super-2 number, since 2×105442116² = 22236079653114912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105442111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25035 + ... + 28941.

It is an arithmetic number, because the mean of its divisors is an integer number (5553268).

Almost surely, 2^105442116 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 105442116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133278432).

105442116 is an abundant number, since it is smaller than the sum of its proper divisors (161114748).

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

105442116 is a wasteful number, since it uses less digits than its factorization.

105442116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105442116 is about 10268.5011564493. The cubic root of 105442116 is about 472.4306194145.

Adding to 105442116 its reverse (611244501), we get a palindrome (716686617).

The spelling of 105442116 in words is "one hundred five million, four hundred forty-two thousand, one hundred sixteen".