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105928485521 = 2311713933037
BaseRepresentation
bin110001010100111010…
…1000110101010010001
3101010102100010121111112
41202221311012222101
53213420143014041
6120355103023105
710440002161565
oct1425165065221
9333370117445
10105928485521
1140a18961011
121864329aa95
139cb1b29541
1451ac5756a5
152b4e947deb
hex18a9d46a91

105928485521 has 8 divisors (see below), whose sum is σ = 110628492864. Its totient is φ = 101236346640.

The previous prime is 105928485463. The next prime is 105928485527. The reversal of 105928485521 is 125584829501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105928485521 - 234 = 88748616337 is a prime.

It is a super-4 number, since 4×1059284855214 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105928485521.

It is not an unprimeable number, because it can be changed into a prime (105928485527) 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 7 ways as a sum of consecutive naturals, for example, 1939586 + ... + 1993451.

It is an arithmetic number, because the mean of its divisors is an integer number (13828561608).

Almost surely, 2105928485521 is an apocalyptic number.

It is an amenable number.

105928485521 is a deficient number, since it is larger than the sum of its proper divisors (4700007343).

105928485521 is a wasteful number, since it uses less digits than its factorization.

105928485521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934231.

The product of its (nonzero) digits is 1152000, while the sum is 50.

The spelling of 105928485521 in words is "one hundred five billion, nine hundred twenty-eight million, four hundred eighty-five thousand, five hundred twenty-one".

Divisors: 1 23 1171 26933 3933037 90459851 4605586327 105928485521