106005165524516 has 6 divisors (see below), whose sum is σ = 185509039667910. Its totient is φ = 53002582762256.

The previous prime is 106005165524491. The next prime is 106005165524537. The reversal of 106005165524516 is 615425561500601.

It can be written as a sum of positive squares in only one way, i.e., 103968693822016 + 2036471702500 = 10196504^2 + 1427050^2 .

It is a super-2 number, since 2×106005165524516² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13250645690561 + ... + 13250645690568.

It is an arithmetic number, because the mean of its divisors is an integer number (30918173277985).

Almost surely, 2^{106005165524516} is an apocalyptic number.

It is an amenable number.

106005165524516 is a deficient number, since it is larger than the sum of its proper divisors (79503874143394).

106005165524516 is a wasteful number, since it uses less digits than its factorization.

106005165524516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26501291381133 (or 26501291381131 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 47.

The spelling of 106005165524516 in words is "one hundred six trillion, five billion, one hundred sixty-five million, five hundred twenty-four thousand, five hundred sixteen".