102013506058752 has 320 divisors, whose sum is σ = 309123148245120. Its totient is φ = 33204739276800.

The previous prime is 102013506058631. The next prime is 102013506058757. The reversal of 102013506058752 is 257850605310201.

102013506058752 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 3 + 5 + 0 + 60 + 587 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102013506058698 and 102013506058707.

It is not an unprimeable number, because it can be changed into a prime (102013506058757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154263852 + ... + 154923732.

It is an arithmetic number, because the mean of its divisors is an integer number (966009838266).

Almost surely, 2^{102013506058752} is an apocalyptic number.

102013506058752 is a gapful number since it is divisible by the number (12) 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 102013506058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154561574122560).

102013506058752 is an abundant number, since it is smaller than the sum of its proper divisors (207109642186368).

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

102013506058752 is an equidigital number, since it uses as much as digits as its factorization.

102013506058752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660172 (or 660150 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 102013506058752 in words is "one hundred two trillion, thirteen billion, five hundred six million, fifty-eight thousand, seven hundred fifty-two".