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105153083 = 7671391613
BaseRepresentation
bin1100100010010…
…00001000111011
321022212022220122
412101020020323
5203404344313
614233443455
72414533520
oct621101073
9238768818
10105153083
11543a1082
122b27058b
1318a29179
14dd73147
159371708
hex644823b

105153083 has 16 divisors (see below), whose sum is σ = 122922240. Its totient is φ = 88092576.

The previous prime is 105153077. The next prime is 105153089. The reversal of 105153083 is 380351501.

It is an interprime number because it is at equal distance from previous prime (105153077) and next prime (105153089).

It is a cyclic number.

It is not a de Polignac number, because 105153083 - 210 = 105152059 is a prime.

It is a super-2 number, since 2×1051530832 = 22114341728809778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105153089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64385 + ... + 65997.

It is an arithmetic number, because the mean of its divisors is an integer number (7682640).

Almost surely, 2105153083 is an apocalyptic number.

105153083 is a deficient number, since it is larger than the sum of its proper divisors (17769157).

105153083 is a wasteful number, since it uses less digits than its factorization.

105153083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105153083 is about 10254.4177309099. The cubic root of 105153083 is about 471.9985561456.

The spelling of 105153083 in words is "one hundred five million, one hundred fifty-three thousand, eighty-three".

Divisors: 1 7 67 139 469 973 1613 9313 11291 65191 108071 224207 756497 1569449 15021869 105153083