106010100061 has 2 divisors, whose sum is σ = 106010100062. Its totient is φ = 106010100060.

The previous prime is 106010100041. The next prime is 106010100109. The reversal of 106010100061 is 160001010601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88286236900 + 17723863161 = 297130^2 + 133131^2 .

It is a cyclic number.

It is not a de Polignac number, because 106010100061 - 2¹⁹ = 106009575773 is a prime.

It is a super-2 number, since 2×106010100061² (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 (106010100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53005050030 + 53005050031.

It is an arithmetic number, because the mean of its divisors is an integer number (53005050031).

Almost surely, 2^106010100061 is an apocalyptic number.

It is an amenable number.

106010100061 is a deficient number, since it is larger than the sum of its proper divisors (1).

106010100061 is an equidigital number, since it uses as much as digits as its factorization.

106010100061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 106010100061 its reverse (160001010601), we get a palindrome (266011110662).

The spelling of 106010100061 in words is "one hundred six billion, ten million, one hundred thousand, sixty-one".