105016021 has 24 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 85092480.

The previous prime is 105016013. The next prime is 105016049. The reversal of 105016021 is 120610501.

It is a happy number.

It is not a de Polignac number, because 105016021 - 2³ = 105016013 is a prime.

It is a super-2 number, since 2×105016021² = 22056729333344882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105015986 and 105016004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105016921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37740 + ... + 40426.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2^105016021 is an apocalyptic number.

105016021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105016021 is a deficient number, since it is larger than the sum of its proper divisors (23685419).

105016021 is a wasteful number, since it uses less digits than its factorization.

105016021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 105016021 is about 10247.7324808955. The cubic root of 105016021 is about 471.7933911527.

Adding to 105016021 its reverse (120610501), we get a palindrome (225626522).

It can be divided in two parts, 1050 and 16021, that added together give a palindrome (17071).

The spelling of 105016021 in words is "one hundred five million, sixteen thousand, twenty-one".