106973568 has 128 divisors (see below), whose sum is σ = 340149600. Its totient is φ = 32901120.

The previous prime is 106973563. The next prime is 106973569. The reversal of 106973568 is 865379601.

It is a happy number.

106973568 is a `hidden beast` number, since 10 + 6 + 9 + 73 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106973568² = 22886688501301248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106973563) 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, 43738 + ... + 46118.

Almost surely, 2^106973568 is an apocalyptic number.

106973568 is a gapful number since it is divisible by the number (18) 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 106973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170074800).

106973568 is an abundant number, since it is smaller than the sum of its proper divisors (233176032).

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

106973568 is a wasteful number, since it uses less digits than its factorization.

106973568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 106973568 is about 10342.8027149318. The cubic root of 106973568 is about 474.7068447804.

The spelling of 106973568 in words is "one hundred six million, nine hundred seventy-three thousand, five hundred sixty-eight".