105528172201 has 9 divisors (see below), whose sum is σ = 105899478231. Its totient is φ = 105158166912.

The previous prime is 105528172193. The next prime is 105528172261. The reversal of 105528172201 is 102271825501.

The square root of 105528172201 is 324851.

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., 104797875625 + 730296576 = 323725^2 + 27024^2 .

It is not a de Polignac number, because 105528172201 - 2³ = 105528172193 is a prime.

It is a super-2 number, since 2×105528172201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105528172261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 182890825 + ... + 182891401.

Almost surely, 2^105528172201 is an apocalyptic number.

105528172201 is the 324851-st square number.

105528172201 is the 162426-th centered octagonal number.

It is an amenable number.

105528172201 is a deficient number, since it is larger than the sum of its proper divisors (371306030).

105528172201 is an frugal number, since it uses more digits than its factorization.

105528172201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

Adding to 105528172201 its reverse (102271825501), we get a palindrome (207799997702).

It can be divided in two parts, 105528 and 172201, that added together give a square (277729 = 527²).

The spelling of 105528172201 in words is "one hundred five billion, five hundred twenty-eight million, one hundred seventy-two thousand, two hundred one".