105731164 has 48 divisors (see below), whose sum is σ = 233130240. Its totient is φ = 40757760.

The previous prime is 105731149. The next prime is 105731167. The reversal of 105731164 is 461137501.

It is a super-2 number, since 2×105731164² = 22358158081589792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105731167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28107 + ... + 31645.

It is an arithmetic number, because the mean of its divisors is an integer number (4856880).

Almost surely, 2^105731164 is an apocalyptic number.

105731164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105731164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116565120).

105731164 is an abundant number, since it is smaller than the sum of its proper divisors (127399076).

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

105731164 is a wasteful number, since it uses less digits than its factorization.

105731164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105731164 is about 10282.5660221561. The cubic root of 105731164 is about 472.8619161968.

Adding to 105731164 its reverse (461137501), we get a palindrome (566868665).

The spelling of 105731164 in words is "one hundred five million, seven hundred thirty-one thousand, one hundred sixty-four".