102005046133032 has 768 divisors, whose sum is σ = 320054635929600. Its totient is φ = 26947778457600.

The previous prime is 102005046133027. The next prime is 102005046133051. The reversal of 102005046133032 is 230331640500201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97055228907 + ... + 97055229957.

It is an arithmetic number, because the mean of its divisors is an integer number (416737807200).

Almost surely, 2^{102005046133032} is an apocalyptic number.

102005046133032 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 102005046133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160027317964800).

102005046133032 is an abundant number, since it is smaller than the sum of its proper divisors (218049589796568).

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

102005046133032 is a wasteful number, since it uses less digits than its factorization.

102005046133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 102005046133032 its reverse (230331640500201), we get a palindrome (332336686633233).

The spelling of 102005046133032 in words is "one hundred two trillion, five billion, forty-six million, one hundred thirty-three thousand, thirty-two".