105580601 has 8 divisors (see below), whose sum is σ = 120729024. Its totient is φ = 90448560.

The previous prime is 105580567. The next prime is 105580613. The reversal of 105580601 is 106085501.

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 105580601 - 2⁶ = 105580537 is a prime.

It is a super-2 number, since 2×105580601² = 22294526615042402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105580661) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16931 + ... + 22311.

It is an arithmetic number, because the mean of its divisors is an integer number (15091128).

Almost surely, 2^105580601 is an apocalyptic number.

It is an amenable number.

105580601 is a deficient number, since it is larger than the sum of its proper divisors (15148423).

105580601 is an equidigital number, since it uses as much as digits as its factorization.

105580601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 105580601 is about 10275.2421382661. The cubic root of 105580601 is about 472.6373550636.

The spelling of 105580601 in words is "one hundred five million, five hundred eighty thousand, six hundred one".