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106787135 = 5713298093
BaseRepresentation
bin1100101110101…
…11000100111111
321102221100102002
412113113010333
5204314142020
614332452515
72434450520
oct627270477
9242840362
10106787135
1155307834
122b91a13b
131917bb70
141027a847
159595975
hex65d713f

106787135 has 32 divisors (see below), whose sum is σ = 163175040. Its totient is φ = 65253888.

The previous prime is 106787123. The next prime is 106787141. The reversal of 106787135 is 531787601.

106787135 = T261 + T262 + ... + T869.

It is not a de Polignac number, because 106787135 - 28 = 106786879 is a prime.

It is a super-2 number, since 2×1067871352 = 22806984403016450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9149 + ... + 17241.

It is an arithmetic number, because the mean of its divisors is an integer number (5099220).

Almost surely, 2106787135 is an apocalyptic number.

106787135 is a deficient number, since it is larger than the sum of its proper divisors (56387905).

106787135 is a wasteful number, since it uses less digits than its factorization.

106787135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147.

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 106787135 is about 10333.7860922316. The cubic root of 106787135 is about 474.4309121809.

The spelling of 106787135 in words is "one hundred six million, seven hundred eighty-seven thousand, one hundred thirty-five".

Divisors: 1 5 7 13 29 35 65 91 145 203 377 455 1015 1885 2639 8093 13195 40465 56651 105209 234697 283255 526045 736463 1173485 1642879 3051061 3682315 8214395 15255305 21357427 106787135