106289280 has 128 divisors (see below), whose sum is σ = 376502400. Its totient is φ = 28339200.

The previous prime is 106289257. The next prime is 106289291. The reversal of 106289280 is 82982601.

106289280 is a `hidden beast` number, since 1 + 0 + 628 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106289280² = 22594822085836800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14205 + ... + 20355.

It is an arithmetic number, because the mean of its divisors is an integer number (2941425).

Almost surely, 2^106289280 is an apocalyptic number.

106289280 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 106289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188251200).

106289280 is an abundant number, since it is smaller than the sum of its proper divisors (270213120).

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

106289280 is an equidigital number, since it uses as much as digits as its factorization.

106289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106289280 is about 10309.6692478469. The cubic root of 106289280 is about 473.6924779844.

The spelling of 106289280 in words is "one hundred six million, two hundred eighty-nine thousand, two hundred eighty".