105143716189521 has 15 divisors (see below), whose sum is σ = 157066676858091. Its totient is φ = 70095749269248.

The previous prime is 105143716189513. The next prime is 105143716189543. The reversal of 105143716189521 is 125981617341501.

The square root of 105143716189521 is 10253961.

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

105143716189521 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 37 + 1 + 6 + 1 + 89 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49466450831121 + 55677265358400 = 7033239^2 + 7461720^2 .

It is not a de Polignac number, because 105143716189521 - 2³ = 105143716189513 is a prime.

It is a super-2 number, since 2×105143716189521² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105143716119521) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 91715985 + ... + 92855313.

It is a 1-persistent number, because it is pandigital, but 2⋅105143716189521 = 210287432379042 is not.

Almost surely, 2^{105143716189521} is an apocalyptic number.

105143716189521 is the 10253961-st square number.

105143716189521 is the 5126981-st centered octagonal number.

It is an amenable number.

105143716189521 is a deficient number, since it is larger than the sum of its proper divisors (51922960668570).

105143716189521 is an frugal number, since it uses more digits than its factorization.

105143716189521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278670 (or 1139332 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 105143716189521 in words is "one hundred five trillion, one hundred forty-three billion, seven hundred sixteen million, one hundred eighty-nine thousand, five hundred twenty-one".