102305204001 has 192 divisors, whose sum is σ = 205607141376. Its totient is φ = 47290521600.

The previous prime is 102305203993. The next prime is 102305204011. The reversal of 102305204001 is 100402503201.

102305204001 is a `hidden beast` number, since 10 + 230 + 5 + 20 + 400 + 1 = 666.

It is not a de Polignac number, because 102305204001 - 2³ = 102305203993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102305204011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94116480 + ... + 94117566.

It is an arithmetic number, because the mean of its divisors is an integer number (1070870528).

Almost surely, 2^102305204001 is an apocalyptic number.

102305204001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102305204001 is an abundant number, since it is smaller than the sum of its proper divisors (103301937375).

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

102305204001 is a wasteful number, since it uses less digits than its factorization.

102305204001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 102305204001 its reverse (100402503201), we get a palindrome (202707707202).

The spelling of 102305204001 in words is "one hundred two billion, three hundred five million, two hundred four thousand, one".