10375106505 has 48 divisors (see below), whose sum is σ = 17251229184. Its totient is φ = 5318991360.

The previous prime is 10375106473. The next prime is 10375106507. The reversal of 10375106505 is 50560157301.

10375106505 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10375106505 - 2⁵ = 10375106473 is a prime.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10375106507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23960769 + ... + 23961201.

It is an arithmetic number, because the mean of its divisors is an integer number (359400608).

Almost surely, 2^10375106505 is an apocalyptic number.

10375106505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10375106505 is a deficient number, since it is larger than the sum of its proper divisors (6876122679).

10375106505 is an equidigital number, since it uses as much as digits as its factorization.

10375106505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The spelling of 10375106505 in words is "ten billion, three hundred seventy-five million, one hundred six thousand, five hundred five".