102720248064 has 576 divisors, whose sum is σ = 362704366080. Its totient is φ = 28063825920.

The previous prime is 102720248053. The next prime is 102720248083. The reversal of 102720248064 is 460842027201.

102720248064 is a `hidden beast` number, since 102 + 72 + 0 + 2 + 480 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105137944 + ... + 105138920.

It is an arithmetic number, because the mean of its divisors is an integer number (629695080).

Almost surely, 2^102720248064 is an apocalyptic number.

102720248064 is a gapful number since it is divisible by the number (14) 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 102720248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181352183040).

102720248064 is an abundant number, since it is smaller than the sum of its proper divisors (259984118016).

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

102720248064 is an equidigital number, since it uses as much as digits as its factorization.

102720248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 102720248064 in words is "one hundred two billion, seven hundred twenty million, two hundred forty-eight thousand, sixty-four".