106017712 has 40 divisors (see below), whose sum is σ = 222146496. Its totient is φ = 48823296.

The previous prime is 106017641. The next prime is 106017713. The reversal of 106017712 is 217710601.

It is a super-2 number, since 2×106017712² = 22479510515429888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106017713) 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 7 ways as a sum of consecutive naturals, for example, 8638 + ... + 16930.

Almost surely, 2^106017712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106017712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111073248).

106017712 is an abundant number, since it is smaller than the sum of its proper divisors (116128784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106017712 is a wasteful number, since it uses less digits than its factorization.

106017712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8365 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 106017712 is about 10296.4902758173. The cubic root of 106017712 is about 473.2887074682.

The spelling of 106017712 in words is "one hundred six million, seventeen thousand, seven hundred twelve".