102225630080 has 128 divisors (see below), whose sum is σ = 293995008000. Its totient is φ = 33204086784.

The previous prime is 102225630071. The next prime is 102225630121. The reversal of 102225630080 is 80036522201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 515360 + ... + 685599.

It is an arithmetic number, because the mean of its divisors is an integer number (2296836000).

Almost surely, 2^102225630080 is an apocalyptic number.

102225630080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102225630080 is an abundant number, since it is smaller than the sum of its proper divisors (191769377920).

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

102225630080 is a wasteful number, since it uses less digits than its factorization.

102225630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201004 (or 1200992 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 102225630080 in words is "one hundred two billion, two hundred twenty-five million, six hundred thirty thousand, eighty".