106880256 has 216 divisors, whose sum is σ = 369064640. Its totient is φ = 29887488.

The previous prime is 106880239. The next prime is 106880261. The reversal of 106880256 is 652088601.

106880256 = 398² + 399² + ... + 726².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×106880256² = 22846778245251072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106880256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2274025 + ... + 2274071.

Almost surely, 2^106880256 is an apocalyptic number.

106880256 is a gapful number since it is divisible by the number (16) 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 106880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184532320).

106880256 is an abundant number, since it is smaller than the sum of its proper divisors (262184384).

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

106880256 is an frugal number, since it uses more digits than its factorization.

106880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 106880256 is about 10338.2907678204. The cubic root of 106880256 is about 474.5687772441.

The spelling of 106880256 in words is "one hundred six million, eight hundred eighty thousand, two hundred fifty-six".