106668288 has 108 divisors (see below), whose sum is σ = 312593008. Its totient is φ = 34974720.

The previous prime is 106668269. The next prime is 106668301. The reversal of 106668288 is 882866601.

It is a super-2 number, since 2×106668288² = 22756247329701888, 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, 154023 + ... + 154713.

Almost surely, 2^106668288 is an apocalyptic number.

106668288 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 106668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156296504).

106668288 is an abundant number, since it is smaller than the sum of its proper divisors (205924720).

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

106668288 is an equidigital number, since it uses as much as digits as its factorization.

106668288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 106668288 is about 10328.0340820507. The cubic root of 106668288 is about 474.2548434655.

The spelling of 106668288 in words is "one hundred six million, six hundred sixty-eight thousand, two hundred eighty-eight".