10145963385 has 24 divisors (see below), whose sum is σ = 17588680200. Its totient is φ = 5410459392.

The previous prime is 10145963381. The next prime is 10145963411. The reversal of 10145963385 is 58336954101.

10145963385 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 9 + 633 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5321410704 + 4824552681 = 72948^2 + 69459^2 .

It is not a de Polignac number, because 10145963385 - 2² = 10145963381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10145963385.

It is not an unprimeable number, because it can be changed into a prime (10145963381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646957 + ... + 662453.

It is an arithmetic number, because the mean of its divisors is an integer number (732861675).

Almost surely, 2^10145963385 is an apocalyptic number.

10145963385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10145963385 is a deficient number, since it is larger than the sum of its proper divisors (7442716815).

10145963385 is a wasteful number, since it uses less digits than its factorization.

10145963385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30057 (or 30054 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 10145963385 in words is "ten billion, one hundred forty-five million, nine hundred sixty-three thousand, three hundred eighty-five".