103952624752656 has 1215 divisors, whose sum is σ = 337501088925637. Its totient is φ = 29859581706240.

The previous prime is 103952624752651. The next prime is 103952624752763. The reversal of 103952624752656 is 656257426259301.

The square root of 103952624752656 is 10195716.

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

103952624752656 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 5 + 2 + 62 + 47 + 526 + 5 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 56113822519056 + 47838802233600 = 7490916^2 + 6916560^2 .

It is a super-2 number, since 2×103952624752656² (a number of 29 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 = 103952624752593 and 103952624752602.

It is not an unprimeable number, because it can be changed into a prime (103952624752651) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1961370278326 + ... + 1961370278378.

Almost surely, 2^{103952624752656} is an apocalyptic number.

103952624752656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103952624752656 is the 10195716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103952624752656

103952624752656 is an abundant number, since it is smaller than the sum of its proper divisors (233548464172981).

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

103952624752656 is a wasteful number, since it uses less digits than its factorization.

103952624752656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 103952624752656 in words is "one hundred three trillion, nine hundred fifty-two billion, six hundred twenty-four million, seven hundred fifty-two thousand, six hundred fifty-six".