105500349 has 12 divisors (see below), whose sum is σ = 152487036. Its totient is φ = 70288512.

The previous prime is 105500341. The next prime is 105500359. The reversal of 105500349 is 943005501.

It can be written as a sum of positive squares in 2 ways, for example, as 98307225 + 7193124 = 9915^2 + 2682^2 .

It is not a de Polignac number, because 105500349 - 2³ = 105500341 is a prime.

It is a super-2 number, since 2×105500349² = 22260647278243602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17269 + ... + 22565.

It is an arithmetic number, because the mean of its divisors is an integer number (12707253).

Almost surely, 2^105500349 is an apocalyptic number.

It is an amenable number.

105500349 is a deficient number, since it is larger than the sum of its proper divisors (46986687).

105500349 is a wasteful number, since it uses less digits than its factorization.

105500349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105500349 is about 10271.3362811272. The cubic root of 105500349 is about 472.5175738823.

The spelling of 105500349 in words is "one hundred five million, five hundred thousand, three hundred forty-nine".