102505003056 has 90 divisors (see below), whose sum is σ = 294835043412. Its totient is φ = 33244801920.

The previous prime is 102505002991. The next prime is 102505003061. The reversal of 102505003056 is 650300505201.

102505003056 is a `hidden beast` number, since 102 + 5 + 0 + 500 + 3 + 0 + 56 = 666.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 62850 + ... + 457121.

Almost surely, 2^102505003056 is an apocalyptic number.

102505003056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102505003056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147417521706).

102505003056 is an abundant number, since it is smaller than the sum of its proper divisors (192330040356).

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

102505003056 is a wasteful number, since it uses less digits than its factorization.

102505003056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520059 (or 520013 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 102505003056 its reverse (650300505201), we get a palindrome (752805508257).

The spelling of 102505003056 in words is "one hundred two billion, five hundred five million, three thousand, fifty-six".