105831072 has 36 divisors (see below), whose sum is σ = 300957930. Its totient is φ = 35276928.

The previous prime is 105831029. The next prime is 105831079. The reversal of 105831072 is 270138501.

105831072 is a `hidden beast` number, since 1 + 0 + 583 + 10 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59536656 + 46294416 = 7716^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105831072² = 22400431601338368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105831079) 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 5 ways as a sum of consecutive naturals, for example, 183447 + ... + 184022.

Almost surely, 2^105831072 is an apocalyptic number.

105831072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105831072 is an abundant number, since it is smaller than the sum of its proper divisors (195126858).

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

105831072 is a wasteful number, since it uses less digits than its factorization.

105831072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367485 (or 367474 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105831072 is about 10287.4230009269. The cubic root of 105831072 is about 473.0108089612.

Adding to 105831072 its reverse (270138501), we get a palindrome (375969573).

The spelling of 105831072 in words is "one hundred five million, eight hundred thirty-one thousand, seventy-two".