105755 has 8 divisors (see below), whose sum is σ = 136752. Its totient is φ = 78048.

The previous prime is 105751. The next prime is 105761. The reversal of 105755 is 557501.

105755 = T₁₂₁ + T₁₂₂ + ... + T₁₃₃.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105755 - 2² = 105751 is a prime.

It is a super-2 number, since 2×105755² = 22368240050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105755.

It is not an unprimeable number, because it can be changed into a prime (105751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (17094).

2¹⁰⁵⁷⁵⁵ is an apocalyptic number.

105755 is a deficient number, since it is larger than the sum of its proper divisors (30997).

105755 is a wasteful number, since it uses less digits than its factorization.

105755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645.

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 105755 is about 325.1999384994. The cubic root of 105755 is about 47.2897447474.

The spelling of 105755 in words is "one hundred five thousand, seven hundred fifty-five".