105580088 has 16 divisors (see below), whose sum is σ = 198072000. Its totient is φ = 52760896.

The previous prime is 105580073. The next prime is 105580099. The reversal of 105580088 is 880085501.

It is a super-2 number, since 2×105580088² = 22294309964175488, which contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 24908 + ... + 28836.

It is an arithmetic number, because the mean of its divisors is an integer number (12379500).

Almost surely, 2^105580088 is an apocalyptic number.

It is an amenable number.

105580088 is a deficient number, since it is larger than the sum of its proper divisors (92491912).

105580088 is a wasteful number, since it uses less digits than its factorization.

105580088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The square root of 105580088 is about 10275.2171753204. The cubic root of 105580088 is about 472.6365895715.

The spelling of 105580088 in words is "one hundred five million, five hundred eighty thousand, eighty-eight".