106504975201 has 3 divisors (see below), whose sum is σ = 106505301553. Its totient is φ = 106504648850.

The previous prime is 106504975193. The next prime is 106504975207. The reversal of 106504975201 is 102579405601.

The square root of 106504975201 is 326351.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 106504975201 - 2³ = 106504975193 is a prime.

It is a super-2 number, since 2×106504975201² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106504975207) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 163176 + ... + 489526.

Almost surely, 2^106504975201 is an apocalyptic number.

106504975201 is the 326351-st square number.

106504975201 is the 163176-th centered octagonal number.

It is an amenable number.

106504975201 is a deficient number, since it is larger than the sum of its proper divisors (326352).

106504975201 is an frugal number, since it uses more digits than its factorization.

106504975201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652702 (or 326351 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 106504975201 in words is "one hundred six billion, five hundred four million, nine hundred seventy-five thousand, two hundred one".