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105444025505 = 5713223817487
BaseRepresentation
bin110001000110011110…
…1000010010010100001
3101002011120112111021222
41202030331002102201
53211422132304010
6120235035224425
710422000266660
oct1421475022241
9332146474258
10105444025505
114079a449035
1218528ba8115
139c35655800
1451640a6dd7
152b2214e355
hex188cf424a1

105444025505 has 48 divisors (see below), whose sum is σ = 156675078144. Its totient is φ = 66705649920.

The previous prime is 105444025483. The next prime is 105444025517. The reversal of 105444025505 is 505520444501.

It is not a de Polignac number, because 105444025505 - 28 = 105444025249 is a prime.

It is a super-2 number, since 2×1054440255052 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14079872 + ... + 14087358.

It is an arithmetic number, because the mean of its divisors is an integer number (3264064128).

Almost surely, 2105444025505 is an apocalyptic number.

It is an amenable number.

105444025505 is a deficient number, since it is larger than the sum of its proper divisors (51231052639).

105444025505 is a wasteful number, since it uses less digits than its factorization.

105444025505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

The spelling of 105444025505 in words is "one hundred five billion, four hundred forty-four million, twenty-five thousand, five hundred five".

Divisors: 1 5 7 13 35 65 91 169 455 845 1183 2381 5915 7487 11905 16667 30953 37435 52409 83335 97331 154765 216671 262045 402389 486655 681317 1083355 1265303 2011945 2816723 3406585 6326515 8857121 14083615 17826547 44285605 89132735 124785829 231745111 623929145 1158725555 1622215777 3012686443 8111078885 15063432215 21088805101 105444025505