105210021719 has 8 divisors (see below), whose sum is σ = 121526014608. Its totient is φ = 90019269760.

The previous prime is 105210021691. The next prime is 105210021743. The reversal of 105210021719 is 917120012501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105210021719 - 2⁸ = 105210021463 is a prime.

It is a super-3 number, since 3×105210021719³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105210021691 and 105210021700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105210021619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281310032 + ... + 281310405.

It is an arithmetic number, because the mean of its divisors is an integer number (15190751826).

Almost surely, 2^105210021719 is an apocalyptic number.

105210021719 is a deficient number, since it is larger than the sum of its proper divisors (16315992889).

105210021719 is a wasteful number, since it uses less digits than its factorization.

105210021719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562620465.

The product of its (nonzero) digits is 1260, while the sum is 29.

The spelling of 105210021719 in words is "one hundred five billion, two hundred ten million, twenty-one thousand, seven hundred nineteen".