106033536541 has 2 divisors, whose sum is σ = 106033536542. Its totient is φ = 106033536540.

The previous prime is 106033536437. The next prime is 106033536577. The reversal of 106033536541 is 145635330601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75776325625 + 30257210916 = 275275^2 + 173946^2 .

It is a cyclic number.

It is not a de Polignac number, because 106033536541 - 2³³ = 97443601949 is a prime.

It is a super-2 number, since 2×106033536541² (a number of 23 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 106033536541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106033536241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53016768270 + 53016768271.

It is an arithmetic number, because the mean of its divisors is an integer number (53016768271).

Almost surely, 2^106033536541 is an apocalyptic number.

It is an amenable number.

106033536541 is a deficient number, since it is larger than the sum of its proper divisors (1).

106033536541 is an equidigital number, since it uses as much as digits as its factorization.

106033536541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 97200, while the sum is 37.

The spelling of 106033536541 in words is "one hundred six billion, thirty-three million, five hundred thirty-six thousand, five hundred forty-one".