102663256080 has 320 divisors, whose sum is σ = 398551062528. Its totient is φ = 21237780480.

The previous prime is 102663256079. The next prime is 102663256103. The reversal of 102663256080 is 80652366201.

It is a super-3 number, since 3×102663256080³ (a number of 34 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4182724 + ... + 4207196.

Almost surely, 2^102663256080 is an apocalyptic number.

102663256080 is a gapful number since it is divisible by the number (10) 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 102663256080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199275531264).

102663256080 is an abundant number, since it is smaller than the sum of its proper divisors (295887806448).

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

102663256080 is a wasteful number, since it uses less digits than its factorization.

102663256080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24734 (or 24728 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 102663256080 in words is "one hundred two billion, six hundred sixty-three million, two hundred fifty-six thousand, eighty".