105100413 has 16 divisors (see below), whose sum is σ = 156128256. Its totient is φ = 62341040.

The previous prime is 105100361. The next prime is 105100423. The reversal of 105100413 is 314001501.

It is a cyclic number.

It is not a de Polignac number, because 105100413 - 2⁶ = 105100349 is a prime.

It is a super-2 number, since 2×105100413² = 22092193625541138, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105100392 and 105100401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105100423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32331 + ... + 35432.

It is an arithmetic number, because the mean of its divisors is an integer number (9758016).

Almost surely, 2^105100413 is an apocalyptic number.

It is an amenable number.

105100413 is a deficient number, since it is larger than the sum of its proper divisors (51027843).

105100413 is a wasteful number, since it uses less digits than its factorization.

105100413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67824.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105100413 is about 10251.8492478187. The cubic root of 105100413 is about 471.9197367231.

Adding to 105100413 its reverse (314001501), we get a palindrome (419101914).

The spelling of 105100413 in words is "one hundred five million, one hundred thousand, four hundred thirteen".