105413000242 has 16 divisors (see below), whose sum is σ = 172505096064. Its totient is φ = 47911918000.

The previous prime is 105413000149. The next prime is 105413000309. The reversal of 105413000242 is 242000314501.

It is a super-2 number, since 2×105413000242² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 215367 + ... + 507157.

It is an arithmetic number, because the mean of its divisors is an integer number (10781568504).

Almost surely, 2^105413000242 is an apocalyptic number.

105413000242 is a deficient number, since it is larger than the sum of its proper divisors (67092095822).

105413000242 is a wasteful number, since it uses less digits than its factorization.

105413000242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308225.

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 105413000242 its reverse (242000314501), we get a palindrome (347413314743).

The spelling of 105413000242 in words is "one hundred five billion, four hundred thirteen million, two hundred forty-two", and thus it is an aban number.