102775088640 has 640 divisors, whose sum is σ = 392806858752. Its totient is φ = 22429532160.

The previous prime is 102775088621. The next prime is 102775088657. The reversal of 102775088640 is 46880577201.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102775088640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138324109 + ... + 138324851.

Almost surely, 2^102775088640 is an apocalyptic number.

102775088640 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 102775088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196403429376).

102775088640 is an abundant number, since it is smaller than the sum of its proper divisors (290031770112).

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

102775088640 is an equidigital number, since it uses as much as digits as its factorization.

102775088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 102775088640 in words is "one hundred two billion, seven hundred seventy-five million, eighty-eight thousand, six hundred forty".