105061 has 4 divisors (see below), whose sum is σ = 114624. Its totient is φ = 95500.

The previous prime is 105037. The next prime is 105071. The reversal of 105061 is 160501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 160501 = 11 ⋅14591.

It is a cyclic number.

It is not a de Polignac number, because 105061 - 2⁷ = 104933 is a prime.

It is a super-2 number, since 2×105061² = 22075627442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4765 + ... + 4786.

It is an arithmetic number, because the mean of its divisors is an integer number (28656).

2¹⁰⁵⁰⁶¹ is an apocalyptic number.

105061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105061 is a deficient number, since it is larger than the sum of its proper divisors (9563).

105061 is an equidigital number, since it uses as much as digits as its factorization.

105061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9562.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105061 is about 324.1311462973. The cubic root of 105061 is about 47.1860738864.

Adding to 105061 its reverse (160501), we get a palindrome (265562).

It can be divided in two parts, 1050 and 61, that added together give a palindrome (1111).

The spelling of 105061 in words is "one hundred five thousand, sixty-one".