105485135199 has 16 divisors (see below), whose sum is σ = 148122441600. Its totient is φ = 66589282656.

The previous prime is 105485135143. The next prime is 105485135219. The reversal of 105485135199 is 991531584501.

It is a happy number.

It is not a de Polignac number, because 105485135199 - 2¹⁶ = 105485069663 is a prime.

It is a super-2 number, since 2×105485135199² (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 (105485135299) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 340389 + ... + 571694.

It is an arithmetic number, because the mean of its divisors is an integer number (9257652600).

Almost surely, 2^105485135199 is an apocalyptic number.

105485135199 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105485135199 is a deficient number, since it is larger than the sum of its proper divisors (42637306401).

105485135199 is a wasteful number, since it uses less digits than its factorization.

105485135199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914134.

The product of its (nonzero) digits is 972000, while the sum is 51.

The spelling of 105485135199 in words is "one hundred five billion, four hundred eighty-five million, one hundred thirty-five thousand, one hundred ninety-nine".