106576008 has 128 divisors (see below), whose sum is σ = 336061440. Its totient is φ = 27360000.

The previous prime is 106575991. The next prime is 106576037. The reversal of 106576008 is 800675601.

It is a super-2 number, since 2×106576008² = 22716890962432128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 106576008.

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 31 ways as a sum of consecutive naturals, for example, 186363 + ... + 186933.

It is an arithmetic number, because the mean of its divisors is an integer number (2625480).

Almost surely, 2^106576008 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 106576008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168030720).

106576008 is an abundant number, since it is smaller than the sum of its proper divisors (229485432).

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

106576008 is a wasteful number, since it uses less digits than its factorization.

106576008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 106576008 is about 10323.5656630837. The cubic root of 106576008 is about 474.1180428470.

The spelling of 106576008 in words is "one hundred six million, five hundred seventy-six thousand, eight".