105521516 has 96 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 43490304.

The previous prime is 105521513. The next prime is 105521519. The reversal of 105521516 is 615125501.

It is an interprime number because it is at equal distance from previous prime (105521513) and next prime (105521519).

It is a super-2 number, since 2×105521516² = 22269580677876512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105521513) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1574915 + ... + 1574981.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 2^105521516 is an apocalyptic number.

It is an amenable number.

105521516 is an abundant number, since it is smaller than the sum of its proper divisors (116561044).

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

105521516 is a wasteful number, since it uses less digits than its factorization.

105521516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 105521516 is about 10272.3666211833. The cubic root of 105521516 is about 472.5491728636.

The spelling of 105521516 in words is "one hundred five million, five hundred twenty-one thousand, five hundred sixteen".