10505114024 has 64 divisors (see below), whose sum is σ = 21009905280. Its totient is φ = 4913568000.

The previous prime is 10505114023. The next prime is 10505114069. The reversal of 10505114024 is 42041150501.

It is a super-2 number, since 2×10505114024² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (10505114023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2028959 + ... + 2034129.

It is an arithmetic number, because the mean of its divisors is an integer number (328279770).

Almost surely, 2^10505114024 is an apocalyptic number.

It is an amenable number.

10505114024 is a deficient number, since it is larger than the sum of its proper divisors (10504791256).

10505114024 is a wasteful number, since it uses less digits than its factorization.

10505114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 10505114024 its reverse (42041150501), we get a palindrome (52546264525).

The spelling of 10505114024 in words is "ten billion, five hundred five million, one hundred fourteen thousand, twenty-four".