106017968 has 60 divisors (see below), whose sum is σ = 247238640. Its totient is φ = 43860096.

The previous prime is 106017959. The next prime is 106017979. The reversal of 106017968 is 869710601.

It is a super-2 number, since 2×106017968² = 22479619077698048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20405 + ... + 25067.

It is an arithmetic number, because the mean of its divisors is an integer number (4120644).

Almost surely, 2^106017968 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 106017968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123619320).

106017968 is an abundant number, since it is smaller than the sum of its proper divisors (141220672).

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

106017968 is a wasteful number, since it uses less digits than its factorization.

106017968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 106017968 is about 10296.5027072303. The cubic root of 106017968 is about 473.2890884165.

The spelling of 106017968 in words is "one hundred six million, seventeen thousand, nine hundred sixty-eight".