102720752640 has 1320 divisors, whose sum is σ = 426933128160. Its totient is φ = 23551672320.

The previous prime is 102720752623. The next prime is 102720752671. The reversal of 102720752640 is 46257027201.

It is a happy number.

102720752640 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 2 + 0 + 7 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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

It is a junction number, because it is equal to n+sod(n) for n = 102720752595 and 102720752604.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1154165716 + ... + 1154165804.

It is an arithmetic number, because the mean of its divisors is an integer number (323434188).

Almost surely, 2^102720752640 is an apocalyptic number.

102720752640 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 102720752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213466564080).

102720752640 is an abundant number, since it is smaller than the sum of its proper divisors (324212375520).

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

102720752640 is a wasteful number, since it uses less digits than its factorization.

102720752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 102720752640 its reverse (46257027201), we get a palindrome (148977779841).

The spelling of 102720752640 in words is "one hundred two billion, seven hundred twenty million, seven hundred fifty-two thousand, six hundred forty".