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107929 = 372917
BaseRepresentation
bin11010010110011001
312111001101
4122112121
511423204
62151401
7626443
oct322631
9174041
10107929
11740a8
1252561
133a183
142b493
1521ea4
hex1a599

107929 has 4 divisors (see below), whose sum is σ = 110884. Its totient is φ = 104976.

The previous prime is 107927. The next prime is 107941. The reversal of 107929 is 929701.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 929701 = 6115241.

It can be written as a sum of positive squares in 2 ways, for example, as 104329 + 3600 = 323^2 + 60^2 .

It is a 4-Lehmer number, since φ(107929) divides (107929-1)4.

It is a cyclic number.

It is not a de Polignac number, because 107929 - 21 = 107927 is a prime.

It is a Duffinian number.

107929 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 107897 and 107906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1422 + ... + 1495.

It is an arithmetic number, because the mean of its divisors is an integer number (27721).

2107929 is an apocalyptic number.

It is an amenable number.

107929 is a deficient number, since it is larger than the sum of its proper divisors (2955).

107929 is an equidigital number, since it uses as much as digits as its factorization.

107929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954.

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 107929 is about 328.5254936835. The cubic root of 107929 is about 47.6115935793.

It can be divided in two parts, 10792 and 9, that added together give a palindrome (10801).

The spelling of 107929 in words is "one hundred seven thousand, nine hundred twenty-nine".

Divisors: 1 37 2917 107929