10505585545 has 72 divisors (see below), whose sum is σ = 16669795464. Its totient is φ = 6299016192.

The previous prime is 10505585539. The next prime is 10505585551. The reversal of 10505585545 is 54558550501.

It is an interprime number because it is at equal distance from previous prime (10505585539) and next prime (10505585551).

It can be written as a sum of positive squares in 4 ways, for example, as 475763344 + 10029822201 = 21812^2 + 100149^2 .

It is not a de Polignac number, because 10505585545 - 2³ = 10505585537 is a prime.

It is a super-2 number, since 2×10505585545² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1145217 + ... + 1154353.

It is an arithmetic number, because the mean of its divisors is an integer number (231524937).

Almost surely, 2^10505585545 is an apocalyptic number.

It is an amenable number.

10505585545 is a deficient number, since it is larger than the sum of its proper divisors (6164209919).

10505585545 is a wasteful number, since it uses less digits than its factorization.

10505585545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9207 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 500000, while the sum is 43.

The spelling of 10505585545 in words is "ten billion, five hundred five million, five hundred eighty-five thousand, five hundred forty-five".