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106171317 = 35762417
BaseRepresentation
bin1100101010000…
…00101110110101
321101210001200000
412111000232311
5204134440232
614311341513
72426304240
oct625005665
9241701600
10106171317
1154a2709a
122b681899
1318cc4785
141015a257
1594c327c
hex6540bb5

106171317 has 24 divisors (see below), whose sum is σ = 181761216. Its totient is φ = 60668352.

The previous prime is 106171309. The next prime is 106171319. The reversal of 106171317 is 713171601.

106171317 is a `hidden beast` number, since 10 + 617 + 1 + 31 + 7 = 666.

It is not a de Polignac number, because 106171317 - 23 = 106171309 is a prime.

It is a super-2 number, since 2×1061713172 = 22544697107028978, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106171319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29508 + ... + 32909.

It is an arithmetic number, because the mean of its divisors is an integer number (7573384).

Almost surely, 2106171317 is an apocalyptic number.

It is an amenable number.

106171317 is a deficient number, since it is larger than the sum of its proper divisors (75589899).

106171317 is an frugal number, since it uses more digits than its factorization.

106171317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62439 (or 62427 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 106171317 is about 10303.9466710576. The cubic root of 106171317 is about 473.5171737884.

The spelling of 106171317 in words is "one hundred six million, one hundred seventy-one thousand, three hundred seventeen".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 62417 187251 436919 561753 1310757 1685259 3932271 5055777 11796813 15167331 35390439 106171317