106891017 has 24 divisors (see below), whose sum is σ = 151424640. Its totient is φ = 67059360.

The previous prime is 106891009. The next prime is 106891073. The reversal of 106891017 is 710198601.

It is not a de Polignac number, because 106891017 - 2³ = 106891009 is a prime.

It is a super-2 number, since 2×106891017² = 22851379030588578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106891217) 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 23 ways as a sum of consecutive naturals, for example, 247792 + ... + 248222.

It is an arithmetic number, because the mean of its divisors is an integer number (6309360).

Almost surely, 2^106891017 is an apocalyptic number.

It is an amenable number.

106891017 is a deficient number, since it is larger than the sum of its proper divisors (44533623).

106891017 is a wasteful number, since it uses less digits than its factorization.

106891017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 106891017 is about 10338.8111985856. The cubic root of 106891017 is about 474.5847036756.

The spelling of 106891017 in words is "one hundred six million, eight hundred ninety-one thousand, seventeen".