10602409024 has 63 divisors (see below), whose sum is σ = 21491567253. Its totient is φ = 5189587200.

The previous prime is 10602409021. The next prime is 10602409073. The reversal of 10602409024 is 42090420601.

The square root of 10602409024 is 102968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 344770624 + 10257638400 = 18568^2 + 101280^2 .

It is a super-2 number, since 2×10602409024² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10602408983 and 10602409001.

It is not an unprimeable number, because it can be changed into a prime (10602409021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50248279 + ... + 50248489.

Almost surely, 2^10602409024 is an apocalyptic number.

10602409024 is the 102968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10602409024

10602409024 is an abundant number, since it is smaller than the sum of its proper divisors (10889158229).

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

10602409024 is an frugal number, since it uses more digits than its factorization.

10602409024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10602409024 its reverse (42090420601), we get a palindrome (52692829625).

The spelling of 10602409024 in words is "ten billion, six hundred two million, four hundred nine thousand, twenty-four".