105577672 has 8 divisors (see below), whose sum is σ = 197958150. Its totient is φ = 52788832.

The previous prime is 105577669. The next prime is 105577673. The reversal of 105577672 is 276775501.

It can be written as a sum of positive squares in only one way, i.e., 94595076 + 10982596 = 9726^2 + 3314^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105577672² = 22293289649879168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105577673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6598597 + ... + 6598612.

Almost surely, 2^105577672 is an apocalyptic number.

It is an amenable number.

105577672 is a deficient number, since it is larger than the sum of its proper divisors (92380478).

105577672 is a wasteful number, since it uses less digits than its factorization.

105577672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13197215 (or 13197211 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 40.

The square root of 105577672 is about 10275.0996102228. The cubic root of 105577672 is about 472.6329844135.

The spelling of 105577672 in words is "one hundred five million, five hundred seventy-seven thousand, six hundred seventy-two".