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105005102445 = 3256734827563
BaseRepresentation
bin110000111001011001…
…0101011010101101101
3101001000222121220001100
41201302302223111231
53210022301234240
6120123315433313
710405060433625
oct1416262532555
9331028556040
10105005102445
1140594708701
1218425bb5839
139b95736919
145121a8d885
152ae884ce30
hex1872cab56d

105005102445 has 24 divisors (see below), whose sum is σ = 184725399456. Its totient is φ = 55166858208.

The previous prime is 105005102443. The next prime is 105005102459. The reversal of 105005102445 is 544201500501.

105005102445 is a `hidden beast` number, since 10 + 500 + 5 + 102 + 4 + 45 = 666.

It is not a de Polignac number, because 105005102445 - 21 = 105005102443 is a prime.

It is a super-2 number, since 2×1050051024452 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005102443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17410767 + ... + 17416796.

It is an arithmetic number, because the mean of its divisors is an integer number (7696891644).

Almost surely, 2105005102445 is an apocalyptic number.

105005102445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105005102445 is a deficient number, since it is larger than the sum of its proper divisors (79720297011).

105005102445 is a wasteful number, since it uses less digits than its factorization.

105005102445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34827641 (or 34827638 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 105005102445 its reverse (544201500501), we get a palindrome (649206602946).

The spelling of 105005102445 in words is "one hundred five billion, five million, one hundred two thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 67 201 335 603 1005 3015 34827563 104482689 174137815 313448067 522413445 1567240335 2333446721 7000340163 11667233605 21001020489 35001700815 105005102445