106185105807 has 8 divisors (see below), whose sum is σ = 154451063040. Its totient is φ = 64354609560.

The previous prime is 106185105791. The next prime is 106185105809. The reversal of 106185105807 is 708501581601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106185105807 - 2⁴ = 106185105791 is a prime.

It is a super-2 number, since 2×106185105807² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106185105809) 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, 1608865207 + ... + 1608865272.

It is an arithmetic number, because the mean of its divisors is an integer number (19306382880).

Almost surely, 2^106185105807 is an apocalyptic number.

106185105807 is a deficient number, since it is larger than the sum of its proper divisors (48265957233).

106185105807 is a wasteful number, since it uses less digits than its factorization.

106185105807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217730493.

The product of its (nonzero) digits is 67200, while the sum is 42.

The spelling of 106185105807 in words is "one hundred six billion, one hundred eighty-five million, one hundred five thousand, eight hundred seven".