105016 has 8 divisors (see below), whose sum is σ = 196920. Its totient is φ = 52504.

The previous prime is 104999. The next prime is 105019. The reversal of 105016 is 610501.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105016² = 22056720512, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 104987 and 105005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556 + ... + 6571.

It is an arithmetic number, because the mean of its divisors is an integer number (24615).

2¹⁰⁵⁰¹⁶ is an apocalyptic number.

It is an amenable number.

105016 is a deficient number, since it is larger than the sum of its proper divisors (91904).

105016 is a wasteful number, since it uses less digits than its factorization.

105016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13133 (or 13129 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105016 is about 324.0617225159. The cubic root of 105016 is about 47.1793359705.

Adding to 105016 its reverse (610501), we get a palindrome (715517).

The spelling of 105016 in words is "one hundred five thousand, sixteen".