106646280 has 128 divisors (see below), whose sum is σ = 347760000. Its totient is φ = 26007552.

The previous prime is 106646279. The next prime is 106646291. The reversal of 106646280 is 82646601.

It is a happy number.

It is a super-3 number, since 3×106646280³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213471 + ... + 213969.

It is an arithmetic number, because the mean of its divisors is an integer number (2716875).

Almost surely, 2^106646280 is an apocalyptic number.

106646280 is a gapful number since it is divisible by the number (10) 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 106646280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173880000).

106646280 is an abundant number, since it is smaller than the sum of its proper divisors (241113720).

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

106646280 is a wasteful number, since it uses less digits than its factorization.

106646280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 106646280 is about 10326.9685774674. The cubic root of 106646280 is about 474.2222248410. Note that the first 5 decimals are identical.

The spelling of 106646280 in words is "one hundred six million, six hundred forty-six thousand, two hundred eighty".