105084801 has 12 divisors (see below), whose sum is σ = 159778320. Its totient is φ = 66369240.

The previous prime is 105084787. The next prime is 105084817. The reversal of 105084801 is 108480501.

It is not a de Polignac number, because 105084801 - 2⁶ = 105084737 is a prime.

It is a super-2 number, since 2×105084801² = 22085630802419202, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105084901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307095 + ... + 307436.

It is an arithmetic number, because the mean of its divisors is an integer number (13314860).

Almost surely, 2^105084801 is an apocalyptic number.

It is an amenable number.

105084801 is a deficient number, since it is larger than the sum of its proper divisors (54693519).

105084801 is a wasteful number, since it uses less digits than its factorization.

105084801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614556 (or 614553 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 105084801 is about 10251.0877959366. The cubic root of 105084801 is about 471.8963686711.

The spelling of 105084801 in words is "one hundred five million, eighty-four thousand, eight hundred one".