105437730401849 has 2 divisors, whose sum is σ = 105437730401850. Its totient is φ = 105437730401848.

The previous prime is 105437730401837. The next prime is 105437730401881. The reversal of 105437730401849 is 948104037734501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78577941936400 + 26859788465449 = 8864420^2 + 5182643^2 .

It is a cyclic number.

It is not a de Polignac number, because 105437730401849 - 2⁸ = 105437730401593 is a prime.

It is a super-2 number, since 2×105437730401849² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105437730401794 and 105437730401803.

It is not a weakly prime, because it can be changed into another prime (105437730401249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52718865200924 + 52718865200925.

It is an arithmetic number, because the mean of its divisors is an integer number (52718865200925).

Almost surely, 2^{105437730401849} is an apocalyptic number.

It is an amenable number.

105437730401849 is a deficient number, since it is larger than the sum of its proper divisors (1).

105437730401849 is an equidigital number, since it uses as much as digits as its factorization.

105437730401849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 105437730401849 in words is "one hundred five trillion, four hundred thirty-seven billion, seven hundred thirty million, four hundred one thousand, eight hundred forty-nine".