105271006347556 has 81 divisors (see below), whose sum is σ = 215545454345907. Its totient is φ = 44855804125440.

The previous prime is 105271006347527. The next prime is 105271006347599. The reversal of 105271006347556 is 655743600172501.

The square root of 105271006347556 is 10260166.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69524478601956 + 35746527745600 = 8338134^2 + 5978840^2 .

It is a super-2 number, since 2×105271006347556² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25999258620 + ... + 25999262668.

Almost surely, 2^{105271006347556} is an apocalyptic number.

105271006347556 is the 10260166-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105271006347556

105271006347556 is an abundant number, since it is smaller than the sum of its proper divisors (110274447998351).

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

105271006347556 is an frugal number, since it uses more digits than its factorization.

105271006347556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8478 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 52.

The spelling of 105271006347556 in words is "one hundred five trillion, two hundred seventy-one billion, six million, three hundred forty-seven thousand, five hundred fifty-six".