106085067 has 16 divisors (see below), whose sum is σ = 154957440. Its totient is φ = 64022400.

The previous prime is 106085041. The next prime is 106085093. The reversal of 106085067 is 760580601.

It is an interprime number because it is at equal distance from previous prime (106085041) and next prime (106085093).

It is not a de Polignac number, because 106085067 - 2⁶ = 106085003 is a prime.

It is a super-2 number, since 2×106085067² = 22508082880788978, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106085027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284 + ... + 14622.

It is an arithmetic number, because the mean of its divisors is an integer number (9684840).

Almost surely, 2^106085067 is an apocalyptic number.

106085067 is a deficient number, since it is larger than the sum of its proper divisors (48872373).

106085067 is a wasteful number, since it uses less digits than its factorization.

106085067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13594.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 106085067 is about 10299.7605311968. The cubic root of 106085067 is about 473.3889159198.

The spelling of 106085067 in words is "one hundred six million, eighty-five thousand, sixty-seven".