102005301255255 has 48 divisors (see below), whose sum is σ = 183565803736224. Its totient is φ = 54341075543040.

The previous prime is 102005301255251. The next prime is 102005301255257. The reversal of 102005301255255 is 552552103500201.

102005301255255 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 5 + 3 + 0 + 125 + 525 + 5 = 666.

It is not a de Polignac number, because 102005301255255 - 2² = 102005301255251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102005301255251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46577134 + ... + 48717963.

It is an arithmetic number, because the mean of its divisors is an integer number (3824287577838).

Almost surely, 2^{102005301255255} is an apocalyptic number.

102005301255255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102005301255255 is a deficient number, since it is larger than the sum of its proper divisors (81560502480969).

102005301255255 is an frugal number, since it uses more digits than its factorization.

102005301255255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95295998 (or 95295986 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

Adding to 102005301255255 its reverse (552552103500201), we get a palindrome (654557404755456).

The spelling of 102005301255255 in words is "one hundred two trillion, five billion, three hundred one million, two hundred fifty-five thousand, two hundred fifty-five".