106105500285 has 16 divisors (see below), whose sum is σ = 178704000960. Its totient is φ = 53611200000.

The previous prime is 106105500233. The next prime is 106105500287. The reversal of 106105500285 is 582005501601.

It is not a de Polignac number, because 106105500285 - 2¹⁷ = 106105369213 is a prime.

It is a super-2 number, since 2×106105500285² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105500287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186149716 + ... + 186150285.

It is an arithmetic number, because the mean of its divisors is an integer number (11169000060).

Almost surely, 2^106105500285 is an apocalyptic number.

106105500285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106105500285 is a deficient number, since it is larger than the sum of its proper divisors (72598500675).

106105500285 is a wasteful number, since it uses less digits than its factorization.

106105500285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372300028.

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 106105500285 in words is "one hundred six billion, one hundred five million, five hundred thousand, two hundred eighty-five".