105730471 has 32 divisors (see below), whose sum is σ = 138682368. Its totient is φ = 78159840.

The previous prime is 105730453. The next prime is 105730477. The reversal of 105730471 is 174037501.

It is not a de Polignac number, because 105730471 - 2⁷ = 105730343 is a prime.

It is a super-3 number, since 3×105730471³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105730477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401886 + ... + 402148.

It is an arithmetic number, because the mean of its divisors is an integer number (4333824).

Almost surely, 2^105730471 is an apocalyptic number.

105730471 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105730471 is a deficient number, since it is larger than the sum of its proper divisors (32951897).

105730471 is a wasteful number, since it uses less digits than its factorization.

105730471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 105730471 is about 10282.5323242867. The cubic root of 105730471 is about 472.8608830923.

Adding to 105730471 its reverse (174037501), we get a palindrome (279767972).

The spelling of 105730471 in words is "one hundred five million, seven hundred thirty thousand, four hundred seventy-one".