106100525761 has 2 divisors, whose sum is σ = 106100525762. Its totient is φ = 106100525760.

The previous prime is 106100525747. The next prime is 106100525803. The reversal of 106100525761 is 167525001601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105206814736 + 893711025 = 324356^2 + 29895^2 .

It is an emirp because it is prime and its reverse (167525001601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106100525761 - 2¹¹ = 106100523713 is a prime.

It is a super-2 number, since 2×106100525761² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106100525711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050262880 + 53050262881.

It is an arithmetic number, because the mean of its divisors is an integer number (53050262881).

Almost surely, 2^106100525761 is an apocalyptic number.

It is an amenable number.

106100525761 is a deficient number, since it is larger than the sum of its proper divisors (1).

106100525761 is an equidigital number, since it uses as much as digits as its factorization.

106100525761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 106100525761 in words is "one hundred six billion, one hundred million, five hundred twenty-five thousand, seven hundred sixty-one".