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106180168897 = 1124121402977
BaseRepresentation
bin110001011100011010…
…1001100110011000001
3101011001212201110012001
41202320311030303001
53214424110401042
6120440053304001
710446146354425
oct1427065146301
9334055643161
10106180168897
1141037a34500
12186b3635001
13a02200b20a
1451d3b6cb85
152b66ab0bb7
hex18b8d4ccc1

106180168897 has 12 divisors (see below), whose sum is σ = 119557035108. Its totient is φ = 94173094400.

The previous prime is 106180168883. The next prime is 106180168921. The reversal of 106180168897 is 798861081601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43080738481 + 63099430416 = 207559^2 + 251196^2 .

It is not a de Polignac number, because 106180168897 - 215 = 106180136129 is a prime.

It is a super-2 number, since 2×1061801688972 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106180868897) 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 in 11 ways as a sum of consecutive naturals, for example, 10696528 + ... + 10706449.

It is an arithmetic number, because the mean of its divisors is an integer number (9963086259).

Almost surely, 2106180168897 is an apocalyptic number.

It is an amenable number.

106180168897 is a deficient number, since it is larger than the sum of its proper divisors (13376866211).

106180168897 is a wasteful number, since it uses less digits than its factorization.

106180168897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21403040 (or 21403029 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 55.

The spelling of 106180168897 in words is "one hundred six billion, one hundred eighty million, one hundred sixty-eight thousand, eight hundred ninety-seven".

Divisors: 1 11 41 121 451 4961 21402977 235432747 877522057 2589760217 9652742627 106180168897