106666840 has 64 divisors (see below), whose sum is σ = 290433600. Its totient is φ = 34418688.

The previous prime is 106666831. The next prime is 106666849. The reversal of 106666840 is 48666601.

It is an interprime number because it is at equal distance from previous prime (106666831) and next prime (106666849).

It is a super-2 number, since 2×106666840² = 22755629511171200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106666840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106666849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6445 + ... + 15964.

It is an arithmetic number, because the mean of its divisors is an integer number (4538025).

Almost surely, 2^106666840 is an apocalyptic number.

106666840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106666840 is an abundant number, since it is smaller than the sum of its proper divisors (183766760).

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

106666840 is a wasteful number, since it uses less digits than its factorization.

106666840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22444 (or 22440 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 106666840 is about 10327.9639813470. The cubic root of 106666840 is about 474.2526974853.

The spelling of 106666840 in words is "one hundred six million, six hundred sixty-six thousand, eight hundred forty".