106817568 has 192 divisors, whose sum is σ = 341397504. Its totient is φ = 28800000.

The previous prime is 106817567. The next prime is 106817569. The reversal of 106817568 is 865718601.

It is an interprime number because it is at equal distance from previous prime (106817567) and next prime (106817569).

It is a super-2 number, since 2×106817568² = 22819985666869248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106817567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425443 + ... + 425693.

It is an arithmetic number, because the mean of its divisors is an integer number (1778112).

Almost surely, 2^106817568 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 106817568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170698752).

106817568 is an abundant number, since it is smaller than the sum of its proper divisors (234579936).

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

106817568 is a wasteful number, since it uses less digits than its factorization.

106817568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 106817568 is about 10335.2584873335. The cubic root of 106817568 is about 474.4759768621.

It can be divided in two parts, 10681 and 7568, that multiplied together give a palindrome (80833808).

The spelling of 106817568 in words is "one hundred six million, eight hundred seventeen thousand, five hundred sixty-eight".