105119218870 has 16 divisors (see below), whose sum is σ = 189220931280. Its totient is φ = 42046279264.

The previous prime is 105119218843. The next prime is 105119218913. The reversal of 105119218870 is 78812911501.

It is a happy number.

It is a super-3 number, since 3×105119218870³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169824 + ... + 488956.

It is an arithmetic number, because the mean of its divisors is an integer number (11826308205).

Almost surely, 2^105119218870 is an apocalyptic number.

105119218870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105119218870 is a deficient number, since it is larger than the sum of its proper divisors (84101712410).

105119218870 is a wasteful number, since it uses less digits than its factorization.

105119218870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352079.

The product of its (nonzero) digits is 40320, while the sum is 43.

The spelling of 105119218870 in words is "one hundred five billion, one hundred nineteen million, two hundred eighteen thousand, eight hundred seventy".