105242053413 has 64 divisors (see below), whose sum is σ = 164508475392. Its totient is φ = 58603184640.

The previous prime is 105242053381. The next prime is 105242053471. The reversal of 105242053413 is 314350242501.

It is not a de Polignac number, because 105242053413 - 2⁵ = 105242053381 is a prime.

It is a super-2 number, since 2×105242053413² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105242053313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170570281 + ... + 170570897.

It is an arithmetic number, because the mean of its divisors is an integer number (2570444928).

Almost surely, 2^105242053413 is an apocalyptic number.

It is an amenable number.

105242053413 is a deficient number, since it is larger than the sum of its proper divisors (59266421979).

105242053413 is a wasteful number, since it uses less digits than its factorization.

105242053413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105242053413 its reverse (314350242501), we get a palindrome (419592295914).

The spelling of 105242053413 in words is "one hundred five billion, two hundred forty-two million, fifty-three thousand, four hundred thirteen".