106580293 has 8 divisors (see below), whose sum is σ = 112940568. Its totient is φ = 100230144.

The previous prime is 106580281. The next prime is 106580311. The reversal of 106580293 is 392085601.

It can be written as a sum of positive squares in 4 ways, for example, as 58721569 + 47858724 = 7663^2 + 6918^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106580293 - 2⁵ = 106580261 is a prime.

It is a super-2 number, since 2×106580293² = 22718717711931698, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106580233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36205 + ... + 39037.

It is an arithmetic number, because the mean of its divisors is an integer number (14117571).

Almost surely, 2^106580293 is an apocalyptic number.

It is an amenable number.

106580293 is a deficient number, since it is larger than the sum of its proper divisors (6360275).

106580293 is a wasteful number, since it uses less digits than its factorization.

106580293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5063.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 106580293 is about 10323.7731958814. The cubic root of 106580293 is about 474.1243968993.

The spelling of 106580293 in words is "one hundred six million, five hundred eighty thousand, two hundred ninety-three".