106665468 has 192 divisors, whose sum is σ = 331914240. Its totient is φ = 25878528.

The previous prime is 106665457. The next prime is 106665469. The reversal of 106665468 is 864566601.

It is a super-2 number, since 2×106665468² = 22755044127318048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106665469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1099596 + ... + 1099692.

It is an arithmetic number, because the mean of its divisors is an integer number (1728720).

Almost surely, 2^106665468 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 106665468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957120).

106665468 is an abundant number, since it is smaller than the sum of its proper divisors (225248772).

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

106665468 is a wasteful number, since it uses less digits than its factorization.

106665468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 106665468 is about 10327.8975595229. The cubic root of 106665468 is about 474.2506641214.

The spelling of 106665468 in words is "one hundred six million, six hundred sixty-five thousand, four hundred sixty-eight".