106865280 has 96 divisors (see below), whose sum is σ = 369039060. Its totient is φ = 28495872.

The previous prime is 106865279. The next prime is 106865303. The reversal of 106865280 is 82568601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95413824 + 11451456 = 9768^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106865280² = 22840376138956800, 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 11 ways as a sum of consecutive naturals, for example, 3517 + ... + 15036.

Almost surely, 2^106865280 is an apocalyptic number.

106865280 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 106865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184519530).

106865280 is an abundant number, since it is smaller than the sum of its proper divisors (262173780).

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

106865280 is a wasteful number, since it uses less digits than its factorization.

106865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18578 (or 18563 counting only the distinct ones).

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

The square root of 106865280 is about 10337.5664447683. The cubic root of 106865280 is about 474.5466107740.

The spelling of 106865280 in words is "one hundred six million, eight hundred sixty-five thousand, two hundred eighty".