102305652345 has 192 divisors, whose sum is σ = 202303046400. Its totient is φ = 49293370368.

The previous prime is 102305652287. The next prime is 102305652353. The reversal of 102305652345 is 543256503201.

102305652345 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 565 + 23 + 45 = 666.

It is not a de Polignac number, because 102305652345 - 2¹⁰ = 102305651321 is a prime.

It is a Curzon number.

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, 293139231 + ... + 293139579.

It is an arithmetic number, because the mean of its divisors is an integer number (1053661700).

Almost surely, 2^102305652345 is an apocalyptic number.

102305652345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102305652345 is a deficient number, since it is larger than the sum of its proper divisors (99997394055).

102305652345 is a wasteful number, since it uses less digits than its factorization.

102305652345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 102305652345 in words is "one hundred two billion, three hundred five million, six hundred fifty-two thousand, three hundred forty-five".