106079568 has 80 divisors (see below), whose sum is σ = 314313216. Its totient is φ = 30199680.

The previous prime is 106079557. The next prime is 106079579. The reversal of 106079568 is 865970601.

It is an interprime number because it is at equal distance from previous prime (106079557) and next prime (106079579).

It is a super-2 number, since 2×106079568² = 22505749494133248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164655 + ... + 165297.

Almost surely, 2^106079568 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 106079568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157156608).

106079568 is an abundant number, since it is smaller than the sum of its proper divisors (208233648).

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

106079568 is a wasteful number, since it uses less digits than its factorization.

106079568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 106079568 is about 10299.4935797834. The cubic root of 106079568 is about 473.3807362872.

The spelling of 106079568 in words is "one hundred six million, seventy-nine thousand, five hundred sixty-eight".