106682580 has 36 divisors (see below), whose sum is σ = 323604372. Its totient is φ = 28448640.

The previous prime is 106682567. The next prime is 106682593. The reversal of 106682580 is 85286601.

It is a happy number.

106682580 is a `hidden beast` number, since 10 + 6 + 68 + 2 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (106682567) and next prime (106682593).

It can be written as a sum of positive squares in 2 ways, for example, as 44997264 + 61685316 = 6708^2 + 7854^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106682580² = 22762345750912800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296161 + ... + 296520.

Almost surely, 2^106682580 is an apocalyptic number.

106682580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106682580 is an abundant number, since it is smaller than the sum of its proper divisors (216921792).

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

106682580 is a wasteful number, since it uses less digits than its factorization.

106682580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592696 (or 592691 counting only the distinct ones).

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

The square root of 106682580 is about 10328.7259620923. The cubic root of 106682580 is about 474.2760236046.

The spelling of 106682580 in words is "one hundred six million, six hundred eighty-two thousand, five hundred eighty".