105016000515 has 32 divisors (see below), whose sum is σ = 178831354176. Its totient is φ = 52440760320.

The previous prime is 105016000421. The next prime is 105016000643. The reversal of 105016000515 is 515000610501.

It is not a de Polignac number, because 105016000515 - 2¹¹ = 105015998467 is a prime.

It is a super-2 number, since 2×105016000515² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1017696 + ... + 1116125.

It is an arithmetic number, because the mean of its divisors is an integer number (5588479818).

Almost surely, 2^105016000515 is an apocalyptic number.

105016000515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105016000515 is a deficient number, since it is larger than the sum of its proper divisors (73815353661).

105016000515 is a wasteful number, since it uses less digits than its factorization.

105016000515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134039.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105016000515 in words is "one hundred five billion, sixteen million, five hundred fifteen", and thus it is an aban number.