413002105 has 8 divisors (see below), whose sum is σ = 496521864. Its totient is φ = 329788800.

The previous prime is 413002081. The next prime is 413002111. The reversal of 413002105 is 501200314.

It can be written as a sum of positive squares in 4 ways, for example, as 71048041 + 341954064 = 8429^2 + 18492^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 413002105 - 2⁷ = 413001977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73636 + ... + 79045.

It is an arithmetic number, because the mean of its divisors is an integer number (62065233).

Almost surely, 2^413002105 is an apocalyptic number.

It is an amenable number.

413002105 is a deficient number, since it is larger than the sum of its proper divisors (83519759).

413002105 is a wasteful number, since it uses less digits than its factorization.

413002105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153227.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 413002105 is about 20322.4532229748. The cubic root of 413002105 is about 744.7046890468.

Adding to 413002105 its reverse (501200314), we get a palindrome (914202419).

The spelling of 413002105 in words is "four hundred thirteen million, two thousand, one hundred five".