105577104 has 20 divisors (see below), whose sum is σ = 272740976. Its totient is φ = 35192352.

The previous prime is 105577099. The next prime is 105577111. The reversal of 105577104 is 401775501.

It is a super-2 number, since 2×105577104² = 22293049778053632, 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 3 ways as a sum of consecutive naturals, for example, 1099714 + ... + 1099809.

Almost surely, 2^105577104 is an apocalyptic number.

It is an amenable number.

105577104 is an abundant number, since it is smaller than the sum of its proper divisors (167163872).

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

105577104 is a wasteful number, since it uses less digits than its factorization.

105577104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199534 (or 2199528 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 105577104 is about 10275.0719705509. The cubic root of 105577104 is about 472.6321368352.

The spelling of 105577104 in words is "one hundred five million, five hundred seventy-seven thousand, one hundred four".