105185536 has 27 divisors (see below), whose sum is σ = 210288253. Its totient is φ = 52510720.

The previous prime is 105185519. The next prime is 105185537. The reversal of 105185536 is 635581501.

The square root of 105185536 is 10256.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 94945536 + 10240000 = 9744^2 + 3200^2 .

It is a super-2 number, since 2×105185536² = 22127993967214592, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105185537) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 163776 + ... + 164416.

Almost surely, 2^105185536 is an apocalyptic number.

105185536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105185536 is the 10256-th square number.

It is an amenable number.

105185536 is a deficient number, since it is larger than the sum of its proper divisors (105102717).

105185536 is an frugal number, since it uses more digits than its factorization.

105185536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The cubic root of 105185536 is about 472.0471081968.

The spelling of 105185536 in words is "one hundred five million, one hundred eighty-five thousand, five hundred thirty-six".