105536916 has 36 divisors (see below), whose sum is σ = 275975700. Its totient is φ = 33965568.

The previous prime is 105536909. The next prime is 105536923. The reversal of 105536916 is 619635501.

105536916 is a `hidden beast` number, since 10 + 553 + 6 + 91 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (105536909) and next prime (105536923).

It can be written as a sum of positive squares in 2 ways, for example, as 31404816 + 74132100 = 5604^2 + 8610^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105536916² = 22276081277582112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 49501 + ... + 51588.

Almost surely, 2^105536916 is an apocalyptic number.

It is an amenable number.

105536916 is an abundant number, since it is smaller than the sum of its proper divisors (170438784).

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

105536916 is a wasteful number, since it uses less digits than its factorization.

105536916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101128 (or 101123 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105536916 is about 10273.1161776746. The cubic root of 105536916 is about 472.5721599711.

The spelling of 105536916 in words is "one hundred five million, five hundred thirty-six thousand, nine hundred sixteen".