102816005505 has 16 divisors (see below), whose sum is σ = 164511881280. Its totient is φ = 54833112128.

The previous prime is 102816005497. The next prime is 102816005531. The reversal of 102816005505 is 505500618201.

It is a cyclic number.

It is not a de Polignac number, because 102816005505 - 2³ = 102816005497 is a prime.

It is a super-2 number, since 2×102816005505² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327706 + ... + 559484.

It is an arithmetic number, because the mean of its divisors is an integer number (10281992580).

Almost surely, 2^102816005505 is an apocalyptic number.

102816005505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102816005505 is a deficient number, since it is larger than the sum of its proper divisors (61695875775).

102816005505 is a wasteful number, since it uses less digits than its factorization.

102816005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261360.

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 102816005505 in words is "one hundred two billion, eight hundred sixteen million, five thousand, five hundred five".