106442616101 has 2 divisors, whose sum is σ = 106442616102. Its totient is φ = 106442616100.

The previous prime is 106442616097. The next prime is 106442616109. The reversal of 106442616101 is 101616244601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61499040100 + 44943576001 = 247990^2 + 211999^2 .

It is a cyclic number.

It is not a de Polignac number, because 106442616101 - 2² = 106442616097 is a prime.

It is a super-2 number, since 2×106442616101² (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 (106442616109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53221308050 + 53221308051.

It is an arithmetic number, because the mean of its divisors is an integer number (53221308051).

Almost surely, 2^106442616101 is an apocalyptic number.

It is an amenable number.

106442616101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106442616101 is an equidigital number, since it uses as much as digits as its factorization.

106442616101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 106442616101 in words is "one hundred six billion, four hundred forty-two million, six hundred sixteen thousand, one hundred one".