105732500249393 has 2 divisors, whose sum is σ = 105732500249394. Its totient is φ = 105732500249392.

The previous prime is 105732500249353. The next prime is 105732500249423. The reversal of 105732500249393 is 393942005237501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104526331811344 + 1206168438049 = 10223812^2 + 1098257^2 .

It is a cyclic number.

It is not a de Polignac number, because 105732500249393 - 2¹⁶ = 105732500183857 is a prime.

It is a super-3 number, since 3×105732500249393³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105732500249353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52866250124696 + 52866250124697.

It is an arithmetic number, because the mean of its divisors is an integer number (52866250124697).

Almost surely, 2^{105732500249393} is an apocalyptic number.

It is an amenable number.

105732500249393 is a deficient number, since it is larger than the sum of its proper divisors (1).

105732500249393 is an equidigital number, since it uses as much as digits as its factorization.

105732500249393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6123600, while the sum is 53.

The spelling of 105732500249393 in words is "one hundred five trillion, seven hundred thirty-two billion, five hundred million, two hundred forty-nine thousand, three hundred ninety-three".