105143654665764 has 2187 divisors, whose sum is σ = 364503389877081. Its totient is φ = 25515128770560.

The previous prime is 105143654665711. The next prime is 105143654665789. The reversal of 105143654665764 is 467566456341501.

The square root of 105143654665764 is 10253958.

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

105143654665764 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 3 + 6 + 54 + 6 + 6 + 576 + 4 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 17911940062500 + 87231714603264 = 4232250^2 + 9339792^2 .

It is a super-2 number, since 2×105143654665764² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 2841720396354 + ... + 2841720396390.

Almost surely, 2^{105143654665764} is an apocalyptic number.

105143654665764 is the 10253958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105143654665764

105143654665764 is an abundant number, since it is smaller than the sum of its proper divisors (259359735211317).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105143654665764 is a wasteful number, since it uses less digits than its factorization.

105143654665764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 105143654665764 in words is "one hundred five trillion, one hundred forty-three billion, six hundred fifty-four million, six hundred sixty-five thousand, seven hundred sixty-four".