10640335104 has 243 divisors, whose sum is σ = 35804102607. Its totient is φ = 3030193152.

The previous prime is 10640335087. The next prime is 10640335109. The reversal of 10640335104 is 40153304601.

The square root of 10640335104 is 103152.

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

10640335104 is a `hidden beast` number, since 1 + 0 + 640 + 3 + 3 + 5 + 10 + 4 = 666.

It is a super-2 number, since 2×10640335104² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640335109) 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 26 ways as a sum of consecutive naturals, for example, 34658919 + ... + 34659225.

Almost surely, 2^10640335104 is an apocalyptic number.

10640335104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10640335104 is the 103152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10640335104

10640335104 is an abundant number, since it is smaller than the sum of its proper divisors (25163767503).

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

10640335104 is an frugal number, since it uses more digits than its factorization.

10640335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10640335104 its reverse (40153304601), we get a palindrome (50793639705).

It can be divided in two parts, 10640 and 335104, that added together give a square (345744 = 588²).

The spelling of 10640335104 in words is "ten billion, six hundred forty million, three hundred thirty-five thousand, one hundred four".