102005505 has 36 divisors (see below), whose sum is σ = 205680852. Its totient is φ = 46630080.

The previous prime is 102005489. The next prime is 102005521. The reversal of 102005505 is 505500201.

It is an interprime number because it is at equal distance from previous prime (102005489) and next prime (102005521).

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 22724289 = 8904^2 + 4767^2 .

It is not a de Polignac number, because 102005505 - 2⁴ = 102005489 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20926 + ... + 25335.

It is an arithmetic number, because the mean of its divisors is an integer number (5713357).

Almost surely, 2^102005505 is an apocalyptic number.

102005505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102005505 is an abundant number, since it is smaller than the sum of its proper divisors (103675347).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102005505 is a wasteful number, since it uses less digits than its factorization.

102005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46286 (or 46276 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 102005505 is about 10099.7774727961. Note that the first 3 decimals coincide. The cubic root of 102005505 is about 467.2412782953.

Adding to 102005505 its reverse (505500201), we get a palindrome (607505706).

The spelling of 102005505 in words is "one hundred two million, five thousand, five hundred five".