10705135624 has 16 divisors (see below), whose sum is σ = 20073369600. Its totient is φ = 5352237072.

The previous prime is 10705135619. The next prime is 10705135627. The reversal of 10705135624 is 42653150701.

It is a super-3 number, since 3×10705135624³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10705135624.

It is not an unprimeable number, because it can be changed into a prime (10705135627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146329 + ... + 206935.

It is an arithmetic number, because the mean of its divisors is an integer number (1254585600).

Almost surely, 2^10705135624 is an apocalyptic number.

It is an amenable number.

10705135624 is a deficient number, since it is larger than the sum of its proper divisors (9368233976).

10705135624 is a wasteful number, since it uses less digits than its factorization.

10705135624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82692 (or 82688 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 10705135624 in words is "ten billion, seven hundred five million, one hundred thirty-five thousand, six hundred twenty-four".