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104917007 = 13232111663
BaseRepresentation
bin1100100000011…
…10100000001111
321022102100002002
412100032200033
5203324321012
614224422515
72412531326
oct620164017
9238370062
10104917007
115424a778
122b177a3b
1318975890
14dd110bd
1593267c2
hex640e80f

104917007 has 16 divisors (see below), whose sum is σ = 118530048. Its totient is φ = 92141280.

The previous prime is 104917003. The next prime is 104917039. The reversal of 104917007 is 700719401.

It is a cyclic number.

It is not a de Polignac number, because 104917007 - 22 = 104917003 is a prime.

It is a super-2 number, since 2×1049170072 = 22015156715676098, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104917003) 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, 62258 + ... + 63920.

It is an arithmetic number, because the mean of its divisors is an integer number (7408128).

Almost surely, 2104917007 is an apocalyptic number.

104917007 is a deficient number, since it is larger than the sum of its proper divisors (13613041).

104917007 is a wasteful number, since it uses less digits than its factorization.

104917007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 104917007 is about 10242.9003216862. The cubic root of 104917007 is about 471.6450682603.

The spelling of 104917007 in words is "one hundred four million, nine hundred seventeen thousand, seven".

Divisors: 1 13 23 211 299 1663 2743 4853 21619 38249 63089 350893 497237 4561609 8070539 104917007