105502858209 has 128 divisors (see below), whose sum is σ = 192167936000. Its totient is φ = 55870746624.

The previous prime is 105502858189. The next prime is 105502858229. The reversal of 105502858209 is 902858205501.

It is a happy number.

105502858209 is a `hidden beast` number, since 1 + 0 + 550 + 28 + 58 + 20 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (105502858189) and next prime (105502858229).

It is not a de Polignac number, because 105502858209 - 2⁸ = 105502857953 is a prime.

It is a super-2 number, since 2×105502858209² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105502858229) 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 127 ways as a sum of consecutive naturals, for example, 33290577 + ... + 33293745.

It is an arithmetic number, because the mean of its divisors is an integer number (1501312000).

Almost surely, 2^105502858209 is an apocalyptic number.

105502858209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105502858209 is a deficient number, since it is larger than the sum of its proper divisors (86665077791).

105502858209 is a wasteful number, since it uses less digits than its factorization.

105502858209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 105502858209 in words is "one hundred five billion, five hundred two million, eight hundred fifty-eight thousand, two hundred nine".