105735082 has 16 divisors (see below), whose sum is σ = 162817704. Its totient is φ = 51480000.

The previous prime is 105735067. The next prime is 105735083. The reversal of 105735082 is 280537501.

It can be written as a sum of positive squares in 4 ways, for example, as 52722121 + 53012961 = 7261^2 + 7281^2 .

It is a super-2 number, since 2×105735082² = 22359815131093448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105735083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8032 + ... + 16612.

Almost surely, 2^105735082 is an apocalyptic number.

105735082 is a deficient number, since it is larger than the sum of its proper divisors (57082622).

105735082 is a wasteful number, since it uses less digits than its factorization.

105735082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 105735082 is about 10282.7565370381. The cubic root of 105735082 is about 472.8677569538.

The spelling of 105735082 in words is "one hundred five million, seven hundred thirty-five thousand, eighty-two".