105541131 has 16 divisors (see below), whose sum is σ = 144827424. Its totient is φ = 68315904.

The previous prime is 105541129. The next prime is 105541133. The reversal of 105541131 is 131145501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105541129) and next prime (105541133).

It is not a de Polignac number, because 105541131 - 2¹ = 105541129 is a prime.

It is a super-2 number, since 2×105541131² = 22277860665518322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105541098 and 105541107.

It is not an unprimeable number, because it can be changed into a prime (105541133) 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, 87871 + ... + 89063.

It is an arithmetic number, because the mean of its divisors is an integer number (9051714).

Almost surely, 2^105541131 is an apocalyptic number.

105541131 is a deficient number, since it is larger than the sum of its proper divisors (39286293).

105541131 is a wasteful number, since it uses less digits than its factorization.

105541131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105541131 is about 10273.3213227271. The cubic root of 105541131 is about 472.5784511824.

Adding to 105541131 its reverse (131145501), we get a palindrome (236686632).

The spelling of 105541131 in words is "one hundred five million, five hundred forty-one thousand, one hundred thirty-one".