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105833022545 = 51571153116929
BaseRepresentation
bin110001010010000100…
…0111100010001010001
3101010011200111120220202
41202210020330101101
53213221223210140
6120341412544545
710434432564065
oct1424410742121
9333150446822
10105833022545
1140979a89298
1218617322155
139c98113b83
14519da05aa5
152b4638c915
hex18a423c451

105833022545 has 16 divisors (see below), whose sum is σ = 127920484560. Its totient is φ = 84053458944.

The previous prime is 105833022541. The next prime is 105833022551. The reversal of 105833022545 is 545220338501.

It can be written as a sum of positive squares in 8 ways, for example, as 565868944 + 105267153601 = 23788^2 + 324449^2 .

It is a cyclic number.

It is not a de Polignac number, because 105833022545 - 22 = 105833022541 is a prime.

It is a super-2 number, since 2×1058330225452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105833022499 and 105833022508.

It is not an unprimeable number, because it can be changed into a prime (105833022541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 846641 + ... + 963569.

It is an arithmetic number, because the mean of its divisors is an integer number (7995030285).

Almost surely, 2105833022545 is an apocalyptic number.

It is an amenable number.

105833022545 is a deficient number, since it is larger than the sum of its proper divisors (22087462015).

105833022545 is a wasteful number, since it uses less digits than its factorization.

105833022545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118244.

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 105833022545 in words is "one hundred five billion, eight hundred thirty-three million, twenty-two thousand, five hundred forty-five".

Divisors: 1 5 157 785 1153 5765 116929 181021 584645 905105 18357853 91789265 134819137 674095685 21166604509 105833022545