106033536577 has 2 divisors, whose sum is σ = 106033536578. Its totient is φ = 106033536576.

The previous prime is 106033536541. The next prime is 106033536613. The reversal of 106033536577 is 775635330601.

It is a balanced prime because it is at equal distance from previous prime (106033536541) and next prime (106033536613).

It can be written as a sum of positive squares in only one way, i.e., 75100113936 + 30933422641 = 274044^2 + 175879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106033536577 is a prime.

It is a super-2 number, since 2×106033536577² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106033536877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53016768288 + 53016768289.

It is an arithmetic number, because the mean of its divisors is an integer number (53016768289).

Almost surely, 2^106033536577 is an apocalyptic number.

It is an amenable number.

106033536577 is a deficient number, since it is larger than the sum of its proper divisors (1).

106033536577 is an equidigital number, since it uses as much as digits as its factorization.

106033536577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1190700, while the sum is 46.

The spelling of 106033536577 in words is "one hundred six billion, thirty-three million, five hundred thirty-six thousand, five hundred seventy-seven".