105766485 has 32 divisors (see below), whose sum is σ = 186859008. Its totient is φ = 50656320.

The previous prime is 105766471. The next prime is 105766501. The reversal of 105766485 is 584667501.

It is not a de Polignac number, because 105766485 - 2⁶ = 105766421 is a prime.

It is a super-2 number, since 2×105766485² = 22373098698510450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9834 + ... + 17556.

It is an arithmetic number, because the mean of its divisors is an integer number (5839344).

Almost surely, 2^105766485 is an apocalyptic number.

105766485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105766485 is a deficient number, since it is larger than the sum of its proper divisors (81092523).

105766485 is a wasteful number, since it uses less digits than its factorization.

105766485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7825.

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 105766485 is about 10284.2833974954. The cubic root of 105766485 is about 472.9145657519.

The spelling of 105766485 in words is "one hundred five million, seven hundred sixty-six thousand, four hundred eighty-five".