105121585 has 8 divisors (see below), whose sum is σ = 132785280. Its totient is φ = 79671024.

The previous prime is 105121573. The next prime is 105121609. The reversal of 105121585 is 585121501.

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 105121585 - 2⁵ = 105121553 is a prime.

It is a super-2 number, since 2×105121585² = 22101095265824450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553177 + ... + 553366.

It is an arithmetic number, because the mean of its divisors is an integer number (16598160).

Almost surely, 2^105121585 is an apocalyptic number.

It is an amenable number.

105121585 is a deficient number, since it is larger than the sum of its proper divisors (27663695).

105121585 is a wasteful number, since it uses less digits than its factorization.

105121585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106567.

The product of its (nonzero) digits is 2000, while the sum is 28.

The square root of 105121585 is about 10252.8817900140. The cubic root of 105121585 is about 471.9514232901.

The spelling of 105121585 in words is "one hundred five million, one hundred twenty-one thousand, five hundred eighty-five".