105507 has 12 divisors (see below), whose sum is σ = 160680. Its totient is φ = 66528.

The previous prime is 105503. The next prime is 105509. The reversal of 105507 is 705501.

It is a happy number.

It is not a de Polignac number, because 105507 - 2² = 105503 is a prime.

It is a super-2 number, since 2×105507² = 22263454098, 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 105507.

It is not an unprimeable number, because it can be changed into a prime (105503) 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, 138 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (13390).

2¹⁰⁵⁵⁰⁷ is an apocalyptic number.

105507 is a deficient number, since it is larger than the sum of its proper divisors (55173).

105507 is a wasteful number, since it uses less digits than its factorization.

105507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 105507 is about 324.8184108083. The cubic root of 105507 is about 47.2527503228.

It can be divided in two parts, 105 and 507, that multiplied together give a palindrome (53235).

The spelling of 105507 in words is "one hundred five thousand, five hundred seven".