105413 has 12 divisors (see below), whose sum is σ = 135072. Its totient is φ = 79920.

The previous prime is 105407. The next prime is 105437. The reversal of 105413 is 314501.

It is not a de Polignac number, because 105413 - 2⁴ = 105397 is a prime.

It is a super-2 number, since 2×105413² = 22223801138, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2831 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (11256).

2¹⁰⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

105413 is a deficient number, since it is larger than the sum of its proper divisors (29659).

105413 is an equidigital number, since it uses as much as digits as its factorization.

105413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105413 is about 324.6736823335. The cubic root of 105413 is about 47.2387130921.

Adding to 105413 its reverse (314501), we get a palindrome (419914).

It can be divided in two parts, 105 and 413, that multiplied together give a triangular number (43365 = T₂₉₄).

The spelling of 105413 in words is "one hundred five thousand, four hundred thirteen".