106651008 has 96 divisors (see below), whose sum is σ = 314182440. Its totient is φ = 34707456.

The previous prime is 106651007. The next prime is 106651031. The reversal of 106651008 is 800156601.

106651008 is a `hidden beast` number, since 1 + 0 + 6 + 651 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106651008² = 22748875014832128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106651001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48460 + ... + 50612.

Almost surely, 2^106651008 is an apocalyptic number.

106651008 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 106651008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157091220).

106651008 is an abundant number, since it is smaller than the sum of its proper divisors (207531432).

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

106651008 is a wasteful number, since it uses less digits than its factorization.

106651008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 106651008 is about 10327.1974901229. The cubic root of 106651008 is about 474.2292327102.

The spelling of 106651008 in words is "one hundred six million, six hundred fifty-one thousand, eight".