105827219503 has 16 divisors (see below), whose sum is σ = 114837972480. Its totient is φ = 97156365696.

The previous prime is 105827219501. The next prime is 105827219507. The reversal of 105827219503 is 305912728501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105827219503 - 2¹ = 105827219501 is a prime.

It is a super-2 number, since 2×105827219503² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105827219503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105827219501) 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 15 ways as a sum of consecutive naturals, for example, 363225 + ... + 586162.

It is an arithmetic number, because the mean of its divisors is an integer number (7177373280).

Almost surely, 2^105827219503 is an apocalyptic number.

105827219503 is a deficient number, since it is larger than the sum of its proper divisors (9010752977).

105827219503 is an equidigital number, since it uses as much as digits as its factorization.

105827219503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949566.

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 105827219503 in words is "one hundred five billion, eight hundred twenty-seven million, two hundred nineteen thousand, five hundred three".