105762194521 has 9 divisors (see below), whose sum is σ = 106157495199. Its totient is φ = 105368364000.

The previous prime is 105762194519. The next prime is 105762194533. The reversal of 105762194521 is 125491267501.

The square root of 105762194521 is 325211.

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., 104709840921 + 1052353600 = 323589^2 + 32440^2 .

It is not a de Polignac number, because 105762194521 - 2¹ = 105762194519 is a prime.

It is a super-2 number, since 2×105762194521² (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 (105762194501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 130409206 + ... + 130410016.

Almost surely, 2^105762194521 is an apocalyptic number.

105762194521 is the 325211-st square number.

105762194521 is the 162606-th centered octagonal number.

It is an amenable number.

105762194521 is a deficient number, since it is larger than the sum of its proper divisors (395300678).

105762194521 is an frugal number, since it uses more digits than its factorization.

105762194521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 105762194521 in words is "one hundred five billion, seven hundred sixty-two million, one hundred ninety-four thousand, five hundred twenty-one".