105380050729537 has 2 divisors, whose sum is σ = 105380050729538. Its totient is φ = 105380050729536.

The previous prime is 105380050729519. The next prime is 105380050729609. The reversal of 105380050729537 is 735927050083501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71282205808641 + 34097844920896 = 8442879^2 + 5839336^2 .

It is a cyclic number.

It is not a de Polignac number, because 105380050729537 - 2¹⁵ = 105380050696769 is a prime.

It is a super-2 number, since 2×105380050729537² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105380050729637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52690025364768 + 52690025364769.

It is an arithmetic number, because the mean of its divisors is an integer number (52690025364769).

Almost surely, 2^{105380050729537} is an apocalyptic number.

It is an amenable number.

105380050729537 is a deficient number, since it is larger than the sum of its proper divisors (1).

105380050729537 is an equidigital number, since it uses as much as digits as its factorization.

105380050729537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938000, while the sum is 55.

The spelling of 105380050729537 in words is "one hundred five trillion, three hundred eighty billion, fifty million, seven hundred twenty-nine thousand, five hundred thirty-seven".