106005011653 has 2 divisors, whose sum is σ = 106005011654. Its totient is φ = 106005011652.

The previous prime is 106005011621. The next prime is 106005011659. The reversal of 106005011653 is 356110500601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86220338689 + 19784672964 = 293633^2 + 140658^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005011653 - 2⁵ = 106005011621 is a prime.

It is a super-2 number, since 2×106005011653² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106005011659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002505826 + 53002505827.

It is an arithmetic number, because the mean of its divisors is an integer number (53002505827).

Almost surely, 2^106005011653 is an apocalyptic number.

It is an amenable number.

106005011653 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005011653 is an equidigital number, since it uses as much as digits as its factorization.

106005011653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 28.

The spelling of 106005011653 in words is "one hundred six billion, five million, eleven thousand, six hundred fifty-three".