105065016 has 64 divisors (see below), whose sum is σ = 306336000. Its totient is φ = 30016224.

The previous prime is 105064987. The next prime is 105065021. The reversal of 105065016 is 610560501.

It is a super-2 number, since 2×105065016² = 22077315174160512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851 + ... + 14613.

It is an arithmetic number, because the mean of its divisors is an integer number (4786500).

Almost surely, 2^105065016 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 105065016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153168000).

105065016 is an abundant number, since it is smaller than the sum of its proper divisors (201270984).

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

105065016 is a wasteful number, since it uses less digits than its factorization.

105065016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793 (or 12775 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105065016 is about 10250.1227309725. The cubic root of 105065016 is about 471.8667511445.

It can be divided in two parts, 1050 and 65016, that added together give a palindrome (66066).

The spelling of 105065016 in words is "one hundred five million, sixty-five thousand, sixteen".