102716230536000 has 672 divisors, whose sum is σ = 402462331858080. Its totient is φ = 24890793984000.

The previous prime is 102716230535981. The next prime is 102716230536001. The reversal of 102716230536000 is 635032617201.

102716230536000 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 16 + 2 + 30 + 5 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 46478469870144 + 56237760665856 = 6817512^2 + 7499184^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102716230536001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34049130 + ... + 36942870.

Almost surely, 2^{102716230536000} is an apocalyptic number.

102716230536000 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 102716230536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201231165929040).

102716230536000 is an abundant number, since it is smaller than the sum of its proper divisors (299746101322080).

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

102716230536000 is a wasteful number, since it uses less digits than its factorization.

102716230536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893820 (or 2893797 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 102716230536000 in words is "one hundred two trillion, seven hundred sixteen billion, two hundred thirty million, five hundred thirty-six thousand".