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105326597038 = 21322928513769
BaseRepresentation
bin110001000010111110…
…1000101001110101110
3101001212101120111201111
41202011331011032232
53211202102101123
6120215242302234
710416043205635
oct1420575051656
9331771514644
10105326597038
114073a133313
12184b57b797a
139c1721c200
14515265a51c
152b16ba590d
hex1885f453ae

105326597038 has 48 divisors (see below), whose sum is σ = 177086098800. Its totient is φ = 46907078400.

The previous prime is 105326597023. The next prime is 105326597039. The reversal of 105326597038 is 830795623501.

It is a super-3 number, since 3×1053265970383 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105326596982 and 105326597000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105326597039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27943618 + ... + 27947386.

It is an arithmetic number, because the mean of its divisors is an integer number (3689293725).

Almost surely, 2105326597038 is an apocalyptic number.

105326597038 is a deficient number, since it is larger than the sum of its proper divisors (71759501762).

105326597038 is a wasteful number, since it uses less digits than its factorization.

105326597038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 105326597038 in words is "one hundred five billion, three hundred twenty-six million, five hundred ninety-seven thousand, thirty-eight".

Divisors: 1 2 13 26 29 58 169 338 377 754 2851 3769 4901 5702 7538 9802 37063 48997 74126 82679 97994 109301 165358 218602 481819 636961 963638 1074827 1273922 1420913 2149654 2841826 10745419 13972751 18471869 21490838 27945502 36943738 139690447 279380894 311617151 623234302 1815975811 3631951622 4051022963 8102045926 52663298519 105326597038