10345035564 has 54 divisors (see below), whose sum is σ = 27533344020. Its totient is φ = 3266013312.

The previous prime is 10345035539. The next prime is 10345035593. The reversal of 10345035564 is 46553054301.

10345035564 is a `hidden beast` number, since 10 + 3 + 4 + 50 + 35 + 564 = 666.

10345035564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2658132 + ... + 2662020.

Almost surely, 2^10345035564 is an apocalyptic number.

It is an amenable number.

10345035564 is an abundant number, since it is smaller than the sum of its proper divisors (17188308456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10345035564 is an equidigital number, since it uses as much as digits as its factorization.

10345035564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7807 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 10345035564 its reverse (46553054301), we get a palindrome (56898089865).

The spelling of 10345035564 in words is "ten billion, three hundred forty-five million, thirty-five thousand, five hundred sixty-four".