106700580 has 144 divisors (see below), whose sum is σ = 389450880. Its totient is φ = 23099904.

The previous prime is 106700579. The next prime is 106700597. The reversal of 106700580 is 85007601.

106700580 is a `hidden beast` number, since 10 + 6 + 70 + 0 + 580 = 666.

It is a super-2 number, since 2×106700580² = 22770027544672800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 21712 + ... + 26168.

It is an arithmetic number, because the mean of its divisors is an integer number (2704520).

Almost surely, 2^106700580 is an apocalyptic number.

106700580 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 106700580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194725440).

106700580 is an abundant number, since it is smaller than the sum of its proper divisors (282750300).

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

106700580 is a wasteful number, since it uses less digits than its factorization.

106700580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4498 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106700580 is about 10329.5972815982. The cubic root of 106700580 is about 474.3026961515.

The spelling of 106700580 in words is "one hundred six million, seven hundred thousand, five hundred eighty".