10505214024 has 64 divisors (see below), whose sum is σ = 26900121600. Its totient is φ = 3417228864.

The previous prime is 10505214023. The next prime is 10505214037. The reversal of 10505214024 is 42041250501.

It is a super-2 number, since 2×10505214024² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10505213985 and 10505214003.

It is not an unprimeable number, because it can be changed into a prime (10505214023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377997 + ... + 404835.

It is an arithmetic number, because the mean of its divisors is an integer number (420314400).

Almost surely, 2^10505214024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13450060800).

10505214024 is an abundant number, since it is smaller than the sum of its proper divisors (16394907576).

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

10505214024 is a wasteful number, since it uses less digits than its factorization.

10505214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27242 (or 27238 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 10505214024 its reverse (42041250501), we get a palindrome (52546464525).

The spelling of 10505214024 in words is "ten billion, five hundred five million, two hundred fourteen thousand, twenty-four".