105000504999 has 16 divisors (see below), whose sum is σ = 150786717312. Its totient is φ = 64608511968.

The previous prime is 105000504989. The next prime is 105000505031. The reversal of 105000504999 is 999405000501.

It is a happy number.

It is not a de Polignac number, because 105000504999 - 2⁵ = 105000504967 is a prime.

It is a super-2 number, since 2×105000504999² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105000504999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000504919) 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 15 ways as a sum of consecutive naturals, for example, 217024 + ... + 507050.

It is an arithmetic number, because the mean of its divisors is an integer number (9424169832).

Almost surely, 2^105000504999 is an apocalyptic number.

105000504999 is a deficient number, since it is larger than the sum of its proper divisors (45786212313).

105000504999 is a wasteful number, since it uses less digits than its factorization.

105000504999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299326.

The product of its (nonzero) digits is 72900, while the sum is 42.

The spelling of 105000504999 in words is "one hundred five billion, five hundred four thousand, nine hundred ninety-nine".