10605067424 has 96 divisors (see below), whose sum is σ = 25156728576. Its totient is φ = 4302397440.

The previous prime is 10605067423. The next prime is 10605067441. The reversal of 10605067424 is 42476050601.

It is a super-2 number, since 2×10605067424² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10605067423) 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, 489134 + ... + 510354.

It is an arithmetic number, because the mean of its divisors is an integer number (262049256).

Almost surely, 2^10605067424 is an apocalyptic number.

10605067424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605067424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578364288).

10605067424 is an abundant number, since it is smaller than the sum of its proper divisors (14551661152).

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

10605067424 is a wasteful number, since it uses less digits than its factorization.

10605067424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21358 (or 21350 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 10605067424 in words is "ten billion, six hundred five million, sixty-seven thousand, four hundred twenty-four".