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107169381 = 321167107151
BaseRepresentation
bin1100110001101…
…00011001100101
321110122202202100
412120310121211
5204413410011
614345002313
72440632114
oct630643145
9243582670
10107169381
1155548a40
122ba83399
1319283b47
1410339c7b
15961dd56
hex6634665

107169381 has 48 divisors (see below), whose sum is σ = 174140928. Its totient is φ = 62964000.

The previous prime is 107169371. The next prime is 107169401. The reversal of 107169381 is 183961701.

It is not a de Polignac number, because 107169381 - 29 = 107168869 is a prime.

It is a super-2 number, since 2×1071693812 = 22970552447846322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107169371) 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 47 ways as a sum of consecutive naturals, for example, 709656 + ... + 709806.

It is an arithmetic number, because the mean of its divisors is an integer number (3627936).

Almost surely, 2107169381 is an apocalyptic number.

107169381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107169381 is a deficient number, since it is larger than the sum of its proper divisors (66971547).

107169381 is a wasteful number, since it uses less digits than its factorization.

107169381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 107169381 is about 10352.2645348735. The cubic root of 107169381 is about 474.9963153915.

The spelling of 107169381 in words is "one hundred seven million, one hundred sixty-nine thousand, three hundred eighty-one".

Divisors: 1 3 9 11 33 67 99 107 151 201 321 453 603 737 963 1177 1359 1661 2211 3531 4983 6633 7169 10117 10593 14949 16157 21507 30351 48471 64521 78859 91053 111287 145413 177727 236577 333861 533181 709731 1001583 1082519 1599543 3247557 9742671 11907709 35723127 107169381