106881013261457 has 2 divisors, whose sum is σ = 106881013261458. Its totient is φ = 106881013261456.

The previous prime is 106881013261423. The next prime is 106881013261487. The reversal of 106881013261457 is 754162310188601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76601074857616 + 30279938403841 = 8752204^2 + 5502721^2 .

It is a cyclic number.

It is not a de Polignac number, because 106881013261457 - 2²⁶ = 106880946152593 is a prime.

It is a super-2 number, since 2×106881013261457² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106881013261399 and 106881013261408.

It is not a weakly prime, because it can be changed into another prime (106881013261487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53440506630728 + 53440506630729.

It is an arithmetic number, because the mean of its divisors is an integer number (53440506630729).

Almost surely, 2^{106881013261457} is an apocalyptic number.

It is an amenable number.

106881013261457 is a deficient number, since it is larger than the sum of its proper divisors (1).

106881013261457 is an equidigital number, since it uses as much as digits as its factorization.

106881013261457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 106881013261457 in words is "one hundred six trillion, eight hundred eighty-one billion, thirteen million, two hundred sixty-one thousand, four hundred fifty-seven".