106735448155561 has 2 divisors, whose sum is σ = 106735448155562. Its totient is φ = 106735448155560.

The previous prime is 106735448155543. The next prime is 106735448155663. The reversal of 106735448155561 is 165551844537601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88263770214400 + 18471677941161 = 9394880^2 + 4297869^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106735448155561 is a prime.

It is a super-2 number, since 2×106735448155561² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106735448155561.

It is not a weakly prime, because it can be changed into another prime (106735448195561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53367724077780 + 53367724077781.

It is an arithmetic number, because the mean of its divisors is an integer number (53367724077781).

Almost surely, 2^{106735448155561} is an apocalyptic number.

It is an amenable number.

106735448155561 is a deficient number, since it is larger than the sum of its proper divisors (1).

106735448155561 is an equidigital number, since it uses as much as digits as its factorization.

106735448155561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480000, while the sum is 61.

The spelling of 106735448155561 in words is "one hundred six trillion, seven hundred thirty-five billion, four hundred forty-eight million, one hundred fifty-five thousand, five hundred sixty-one".