105437730401881 has 2 divisors, whose sum is σ = 105437730401882. Its totient is φ = 105437730401880.

The previous prime is 105437730401849. The next prime is 105437730401891. The reversal of 105437730401881 is 188104037734501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79713469497600 + 25724260904281 = 8928240^2 + 5071909^2 .

It is a cyclic number.

It is not a de Polignac number, because 105437730401881 - 2⁵ = 105437730401849 is a prime.

It is a super-2 number, since 2×105437730401881² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105437730401891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52718865200940 + 52718865200941.

It is an arithmetic number, because the mean of its divisors is an integer number (52718865200941).

Almost surely, 2^{105437730401881} is an apocalyptic number.

It is an amenable number.

105437730401881 is a deficient number, since it is larger than the sum of its proper divisors (1).

105437730401881 is an equidigital number, since it uses as much as digits as its factorization.

105437730401881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 105437730401881 in words is "one hundred five trillion, four hundred thirty-seven billion, seven hundred thirty million, four hundred one thousand, eight hundred eighty-one".