32105300350123 has 48 divisors (see below), whose sum is σ = 46457126329824. Its totient is φ = 21734327946240.

The previous prime is 32105300350087. The next prime is 32105300350139.

32105300350123 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-32105300350123 is a prime.

It is a super-2 number, since 2×32105300350123² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32105300350091 and 32105300350100.

It is not an unprimeable number, because it can be changed into a prime (32105300353123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134642340 + ... + 134880577.

It is an arithmetic number, because the mean of its divisors is an integer number (967856798538).

Almost surely, 2^{32105300350123} is an apocalyptic number.

32105300350123 is a deficient number, since it is larger than the sum of its proper divisors (14351825979701).

32105300350123 is a wasteful number, since it uses less digits than its factorization.

32105300350123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269522972 (or 269522965 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

It can be divided in two parts, 32105300 and 350123, that added together give a palindrome (32455423).

The spelling of 32105300350123 in words is "thirty-two trillion, one hundred five billion, three hundred million, three hundred fifty thousand, one hundred twenty-three".