10145312775 has 120 divisors (see below), whose sum is σ = 20360728080. Its totient is φ = 4964405760.

The previous prime is 10145312747. The next prime is 10145312797. The reversal of 10145312775 is 57721354101.

10145312775 is a `hidden beast` number, since 10 + 1 + 453 + 127 + 75 = 666.

It is not a de Polignac number, because 10145312775 - 2⁸ = 10145312519 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4711099 + ... + 4713251.

It is an arithmetic number, because the mean of its divisors is an integer number (169672734).

Almost surely, 2^10145312775 is an apocalyptic number.

10145312775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10145312775 is an abundant number, since it is smaller than the sum of its proper divisors (10215415305).

10145312775 is a wasteful number, since it uses less digits than its factorization.

10145312775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 10145312775 its reverse (57721354101), we get a palindrome (67866666876).

The spelling of 10145312775 in words is "ten billion, one hundred forty-five million, three hundred twelve thousand, seven hundred seventy-five".