106651968 has 56 divisors (see below), whose sum is σ = 284975808. Its totient is φ = 35198976.

The previous prime is 106651967. The next prime is 106651981. The reversal of 106651968 is 869156601.

It is a happy number.

It is a super-2 number, since 2×106651968² = 22749284556546048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106651967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17080 + ... + 22472.

Almost surely, 2^106651968 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 106651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142487904).

106651968 is an abundant number, since it is smaller than the sum of its proper divisors (178323840).

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

106651968 is a wasteful number, since it uses less digits than its factorization.

106651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 106651968 is about 10327.2439692301. The cubic root of 106651968 is about 474.2306556025.

The spelling of 106651968 in words is "one hundred six million, six hundred fifty-one thousand, nine hundred sixty-eight".