105136617 has 8 divisors (see below), whose sum is σ = 140716224. Its totient is φ = 69824048.

The previous prime is 105136607. The next prime is 105136631. The reversal of 105136617 is 716631501.

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 105136617 - 2⁶ = 105136553 is a prime.

It is a super-2 number, since 2×105136617² = 22107416468409378, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105136607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65838 + ... + 67415.

It is an arithmetic number, because the mean of its divisors is an integer number (17589528).

Almost surely, 2^105136617 is an apocalyptic number.

It is an amenable number.

105136617 is a deficient number, since it is larger than the sum of its proper divisors (35579607).

105136617 is a wasteful number, since it uses less digits than its factorization.

105136617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133519.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105136617 is about 10253.6148260016. The cubic root of 105136617 is about 471.9739179905.

The spelling of 105136617 in words is "one hundred five million, one hundred thirty-six thousand, six hundred seventeen".