102105245323341 has 192 divisors, whose sum is σ = 171769311866880. Its totient is φ = 57885777100800.

The previous prime is 102105245323321. The next prime is 102105245323349. The reversal of 102105245323341 is 143323542501201.

102105245323341 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 52 + 4 + 532 + 33 + 41 = 666.

It is not a de Polignac number, because 102105245323341 - 2²⁵ = 102105211768909 is a prime.

It is a super-2 number, since 2×102105245323341² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102105245323296 and 102105245323305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102105245323349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14374942996 + ... + 14374950098.

It is an arithmetic number, because the mean of its divisors is an integer number (894631832640).

Almost surely, 2^{102105245323341} is an apocalyptic number.

It is an amenable number.

102105245323341 is a deficient number, since it is larger than the sum of its proper divisors (69664066543539).

102105245323341 is a wasteful number, since it uses less digits than its factorization.

102105245323341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 102105245323341 its reverse (143323542501201), we get a palindrome (245428787824542).

The spelling of 102105245323341 in words is "one hundred two trillion, one hundred five billion, two hundred forty-five million, three hundred twenty-three thousand, three hundred forty-one".