105220116 has 36 divisors (see below), whose sum is σ = 266771232. Its totient is φ = 34968144.

The previous prime is 105220111. The next prime is 105220127. The reversal of 105220116 is 611022501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105220116² = 22142545622106912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105220111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8281 + ... + 16703.

It is an arithmetic number, because the mean of its divisors is an integer number (7410312).

Almost surely, 2^105220116 is an apocalyptic number.

It is an amenable number.

105220116 is an abundant number, since it is smaller than the sum of its proper divisors (161551116).

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

105220116 is a wasteful number, since it uses less digits than its factorization.

105220116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105220116 is about 10257.6857039003. The cubic root of 105220116 is about 472.0988314063.

Adding to 105220116 its reverse (611022501), we get a palindrome (716242617).

The spelling of 105220116 in words is "one hundred five million, two hundred twenty thousand, one hundred sixteen".