105048868419 has 24 divisors (see below), whose sum is σ = 165595792752. Its totient is φ = 63641272320.

The previous prime is 105048868387. The next prime is 105048868423. The reversal of 105048868419 is 914868840501.

It is a happy number.

105048868419 is a `hidden beast` number, since 10 + 50 + 488 + 68 + 41 + 9 = 666.

It is not a de Polignac number, because 105048868419 - 2⁵ = 105048868387 is a prime.

It is a super-2 number, since 2×105048868419² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105048868819) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52099 + ... + 461315.

It is an arithmetic number, because the mean of its divisors is an integer number (6899824698).

Almost surely, 2^105048868419 is an apocalyptic number.

105048868419 is a deficient number, since it is larger than the sum of its proper divisors (60546924333).

105048868419 is a wasteful number, since it uses less digits than its factorization.

105048868419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411827 (or 411824 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 105048868419 in words is "one hundred five billion, forty-eight million, eight hundred sixty-eight thousand, four hundred nineteen".