105704064 has 48 divisors (see below), whose sum is σ = 304177770. Its totient is φ = 35234304.

The previous prime is 105704057. The next prime is 105704083. The reversal of 105704064 is 460407501.

It can be written as a sum of positive squares in only one way, i.e., 64641600 + 41062464 = 8040^2 + 6408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105704064² = 22346698292232192, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 44727 + ... + 47030.

Almost surely, 2^105704064 is an apocalyptic number.

It is an amenable number.

105704064 is an abundant number, since it is smaller than the sum of its proper divisors (198473706).

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

105704064 is an equidigital number, since it uses as much as digits as its factorization.

105704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91777 (or 91762 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105704064 is about 10281.2481732521. The cubic root of 105704064 is about 472.8215129311.

It can be divided in two parts, 105 and 704064, that multiplied together give a triangular number (73926720 = T₁₂₁₅₉).

The spelling of 105704064 in words is "one hundred five million, seven hundred four thousand, sixty-four".