88105 has 8 divisors (see below), whose sum is σ = 107712. Its totient is φ = 69168.

The previous prime is 88093. The next prime is 88117. The reversal of 88105 is 50188.

88105 = T₁₄ + T₁₅ + ... + T₈₀.

It is an interprime number because it is at equal distance from previous prime (88093) and next prime (88117).

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 88105 - 2⁷ = 87977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (13464).

2⁸⁸¹⁰⁵ is an apocalyptic number.

It is an amenable number.

88105 is a deficient number, since it is larger than the sum of its proper divisors (19607).

88105 is a wasteful number, since it uses less digits than its factorization.

88105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 88105 is about 296.8248641876. The cubic root of 88105 is about 44.4972855307.

The spelling of 88105 in words is "eighty-eight thousand, one hundred five".