10125123103305 has 288 divisors, whose sum is σ = 22028708782080. Its totient is φ = 4199398318080.

The previous prime is 10125123103301. The next prime is 10125123103327. The reversal of 10125123103305 is 50330132152101.

10125123103305 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 12 + 310 + 330 + 5 = 666.

It is not a de Polignac number, because 10125123103305 - 2² = 10125123103301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10125123103301) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 799072120 + ... + 799084790.

It is an arithmetic number, because the mean of its divisors is an integer number (76488572160).

Almost surely, 2^{10125123103305} is an apocalyptic number.

10125123103305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10125123103305 is an abundant number, since it is smaller than the sum of its proper divisors (11903585678775).

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

10125123103305 is a wasteful number, since it uses less digits than its factorization.

10125123103305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12849 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 10125123103305 its reverse (50330132152101), we get a palindrome (60455255255406).

The spelling of 10125123103305 in words is "ten trillion, one hundred twenty-five billion, one hundred twenty-three million, one hundred three thousand, three hundred five".