106317056 has 36 divisors (see below), whose sum is σ = 215846400. Its totient is φ = 52250112.

The previous prime is 106317053. The next prime is 106317061. The reversal of 106317056 is 650713601.

It is a super-2 number, since 2×106317056² = 22606632793014272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106317053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11585 + ... + 18623.

Almost surely, 2^106317056 is an apocalyptic number.

106317056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107923200).

106317056 is an abundant number, since it is smaller than the sum of its proper divisors (109529344).

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

106317056 is an frugal number, since it uses more digits than its factorization.

106317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 106317056 is about 10311.0162447743. The cubic root of 106317056 is about 473.7337368844.

The spelling of 106317056 in words is "one hundred six million, three hundred seventeen thousand, fifty-six".