105284632807 has 8 divisors (see below), whose sum is σ = 108070127712. Its totient is φ = 102533316000.

The previous prime is 105284632799. The next prime is 105284632823. The reversal of 105284632807 is 708236482501.

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 105284632807 - 2³ = 105284632799 is a prime.

It is a super-2 number, since 2×105284632807² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105284632897) 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, 8538283 + ... + 8550604.

It is an arithmetic number, because the mean of its divisors is an integer number (13508765964).

Almost surely, 2^105284632807 is an apocalyptic number.

105284632807 is a deficient number, since it is larger than the sum of its proper divisors (2785494905).

105284632807 is a wasteful number, since it uses less digits than its factorization.

105284632807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17089049.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 105284632807 in words is "one hundred five billion, two hundred eighty-four million, six hundred thirty-two thousand, eight hundred seven".