106646910 has 64 divisors (see below), whose sum is σ = 263179584. Its totient is φ = 27648000.

The previous prime is 106646909. The next prime is 106646959. The reversal of 106646910 is 19646601.

It is a super-2 number, since 2×106646910² = 22747126825096200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 184542 + ... + 185118.

It is an arithmetic number, because the mean of its divisors is an integer number (4112181).

Almost surely, 2^106646910 is an apocalyptic number.

106646910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106646910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131589792).

106646910 is an abundant number, since it is smaller than the sum of its proper divisors (156532674).

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

106646910 is a wasteful number, since it uses less digits than its factorization.

106646910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106646910 is about 10326.9990800813. Note that the first 3 decimals coincide. The cubic root of 106646910 is about 474.2231586427.

The spelling of 106646910 in words is "one hundred six million, six hundred forty-six thousand, nine hundred ten".