106506165541 has 2 divisors, whose sum is σ = 106506165542. Its totient is φ = 106506165540.

The previous prime is 106506165539. The next prime is 106506165587. The reversal of 106506165541 is 145561605601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105400869025 + 1105296516 = 324655^2 + 33246^2 .

It is an emirp because it is prime and its reverse (145561605601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106506165541 - 2¹ = 106506165539 is a prime.

It is a super-2 number, since 2×106506165541² (a number of 23 digits) contains 22 as substring.

Together with 106506165539, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 106506165494 and 106506165503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106506165841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53253082770 + 53253082771.

It is an arithmetic number, because the mean of its divisors is an integer number (53253082771).

Almost surely, 2^106506165541 is an apocalyptic number.

It is an amenable number.

106506165541 is a deficient number, since it is larger than the sum of its proper divisors (1).

106506165541 is an equidigital number, since it uses as much as digits as its factorization.

106506165541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 106506165541 in words is "one hundred six billion, five hundred six million, one hundred sixty-five thousand, five hundred forty-one".