105556761025 has 27 divisors (see below), whose sum is σ = 131985174153. Its totient is φ = 83744935200.

The previous prime is 105556761001. The next prime is 105556761031. The reversal of 105556761025 is 520167655501.

The square root of 105556761025 is 324895.

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 56652092289 + 48904668736 = 238017^2 + 221144^2 .

It is not a de Polignac number, because 105556761025 - 2²¹ = 105554663873 is a prime.

It is a super-2 number, since 2×105556761025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 294029796 + ... + 294030154.

Almost surely, 2^105556761025 is an apocalyptic number.

105556761025 is the 324895-th square number.

105556761025 is the 162448-th centered octagonal number.

It is an amenable number.

105556761025 is a deficient number, since it is larger than the sum of its proper divisors (26428413128).

105556761025 is an frugal number, since it uses more digits than its factorization.

105556761025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 43.

The spelling of 105556761025 in words is "one hundred five billion, five hundred fifty-six million, seven hundred sixty-one thousand, twenty-five".