105737120639971 has 2 divisors, whose sum is σ = 105737120639972. Its totient is φ = 105737120639970.

The previous prime is 105737120639939. The next prime is 105737120640043. The reversal of 105737120639971 is 179936021737501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105737120639971 - 2⁵ = 105737120639939 is a prime.

It is a super-2 number, since 2×105737120639971² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105737120639911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52868560319985 + 52868560319986.

It is an arithmetic number, because the mean of its divisors is an integer number (52868560319986).

Almost surely, 2^{105737120639971} is an apocalyptic number.

105737120639971 is a deficient number, since it is larger than the sum of its proper divisors (1).

105737120639971 is an equidigital number, since it uses as much as digits as its factorization.

105737120639971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15002820, while the sum is 61.

The spelling of 105737120639971 in words is "one hundred five trillion, seven hundred thirty-seven billion, one hundred twenty million, six hundred thirty-nine thousand, nine hundred seventy-one".