105500916 has 36 divisors (see below), whose sum is σ = 267354724. Its totient is φ = 35078400.

The previous prime is 105500897. The next prime is 105500917. The reversal of 105500916 is 619005501.

It can be written as a sum of positive squares in 2 ways, for example, as 31472100 + 74028816 = 5610^2 + 8604^2 .

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

It is a super-2 number, since 2×105500916² = 22260886553678112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105500916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500917) 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 11 ways as a sum of consecutive naturals, for example, 11676 + ... + 18636.

Almost surely, 2^105500916 is an apocalyptic number.

It is an amenable number.

105500916 is an abundant number, since it is smaller than the sum of its proper divisors (161853808).

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

105500916 is a wasteful number, since it uses less digits than its factorization.

105500916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 7387 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105500916 is about 10271.3638821726. The cubic root of 105500916 is about 472.5184203787.

The spelling of 105500916 in words is "one hundred five million, five hundred thousand, nine hundred sixteen".