105525231201 has 24 divisors (see below), whose sum is σ = 164166538536. Its totient is φ = 64932203520.

The previous prime is 105525231181. The next prime is 105525231209. The reversal of 105525231201 is 102132525501.

105525231201 is a `hidden beast` number, since 10 + 5 + 5 + 2 + 523 + 120 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25548825600 + 79976405601 = 159840^2 + 282801^2 .

It is not a de Polignac number, because 105525231201 - 2⁶ = 105525231137 is a prime.

It is a super-2 number, since 2×105525231201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105525231209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1328071 + ... + 1405283.

It is an arithmetic number, because the mean of its divisors is an integer number (6840272439).

Almost surely, 2^105525231201 is an apocalyptic number.

It is an amenable number.

105525231201 is a deficient number, since it is larger than the sum of its proper divisors (58641307335).

105525231201 is a wasteful number, since it uses less digits than its factorization.

105525231201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88913 (or 88910 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 105525231201 its reverse (102132525501), we get a palindrome (207657756702).

The spelling of 105525231201 in words is "one hundred five billion, five hundred twenty-five million, two hundred thirty-one thousand, two hundred one".