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105010750134 = 2341937922069
BaseRepresentation
bin110000111001100100…
…0001110001010110110
3101001001101020211020000
41201303020032022312
53210030223001014
6120124040452130
710405156435323
oct1416310161266
9331041224200
10105010750134
1140597915914
1218427a7a046
139b96963454
14512271db4a
152ae90b6509
hex187320e2b6

105010750134 has 80 divisors (see below), whose sum is σ = 254380671600. Its totient is φ = 32265003456.

The previous prime is 105010750123. The next prime is 105010750139. The reversal of 105010750134 is 431057010501.

105010750134 is a `hidden beast` number, since 1 + 0 + 50 + 107 + 501 + 3 + 4 = 666.

It is a super-2 number, since 2×1050107501342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105010750098 and 105010750107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105010750139) 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 39 ways as a sum of consecutive naturals, for example, 347149 + ... + 574920.

It is an arithmetic number, because the mean of its divisors is an integer number (3179758395).

Almost surely, 2105010750134 is an apocalyptic number.

105010750134 is an abundant number, since it is smaller than the sum of its proper divisors (149369921466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105010750134 is a wasteful number, since it uses less digits than its factorization.

105010750134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922139 (or 922130 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 105010750134 its reverse (431057010501), we get a palindrome (536067760635).

The spelling of 105010750134 in words is "one hundred five billion, ten million, seven hundred fifty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 162 171 222 333 342 513 666 703 999 1026 1406 1539 1998 2109 2997 3078 4218 5994 6327 12654 18981 37962 56943 113886 922069 1844138 2766207 5532414 8298621 16597242 17519311 24895863 34116553 35038622 49791726 52557933 68233106 74687589 102349659 105115866 149375178 157673799 204699318 307048977 315347598 473021397 614097954 648214507 921146931 946042794 1296429014 1419064191 1842293862 1944643521 2763440793 2838128382 3889287042 5526881586 5833930563 11667861126 17501791689 35003583378 52505375067 105010750134