105413061 has 16 divisors (see below), whose sum is σ = 153498240. Its totient is φ = 63954240.

The previous prime is 105413059. The next prime is 105413069. The reversal of 105413061 is 160314501.

It is not a de Polignac number, because 105413061 - 2¹ = 105413059 is a prime.

It is a super-2 number, since 2×105413061² = 22223826858779442, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413069) 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, 16266 + ... + 21803.

It is an arithmetic number, because the mean of its divisors is an integer number (9593640).

Almost surely, 2^105413061 is an apocalyptic number.

It is an amenable number.

105413061 is a deficient number, since it is larger than the sum of its proper divisors (48085179).

105413061 is a wasteful number, since it uses less digits than its factorization.

105413061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38156.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105413061 is about 10267.0862955368. The cubic root of 105413061 is about 472.3872220411.

Adding to 105413061 its reverse (160314501), we get a palindrome (265727562).

The spelling of 105413061 in words is "one hundred five million, four hundred thirteen thousand, sixty-one".