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106817935 = 5728110861
BaseRepresentation
bin1100101110111…
…10100110001111
321102222220122211
412113132212033
5204321133220
614333251251
72434636360
oct627364617
9242886584
10106817935
1155328994
122b933b27
131918cba3
1410287b67
15959eb5a
hex65de98f

106817935 has 16 divisors (see below), whose sum is σ = 147028032. Its totient is φ = 72979200.

The previous prime is 106817923. The next prime is 106817939. The reversal of 106817935 is 539718601.

It is not a de Polignac number, because 106817935 - 27 = 106817807 is a prime.

It is a super-2 number, since 2×1068179352 = 22820142475328450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106817939) 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 15 ways as a sum of consecutive naturals, for example, 4405 + ... + 15265.

It is an arithmetic number, because the mean of its divisors is an integer number (9189252).

Almost surely, 2106817935 is an apocalyptic number.

106817935 is a deficient number, since it is larger than the sum of its proper divisors (40210097).

106817935 is a wasteful number, since it uses less digits than its factorization.

106817935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11154.

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 106817935 is about 10335.2762420750. The cubic root of 106817935 is about 474.4765202574.

The spelling of 106817935 in words is "one hundred six million, eight hundred seventeen thousand, nine hundred thirty-five".

Divisors: 1 5 7 35 281 1405 1967 9835 10861 54305 76027 380135 3051941 15259705 21363587 106817935