Search a number
-
+
107168037 = 31947109367
BaseRepresentation
bin1100110001101…
…00000100100101
321110122200220120
412120310010211
5204413334122
614344552153
72440625154
oct630640445
9243580816
10107168037
1155547a29
122ba82659
1319283352
141033959b
15961d75c
hex6634125

107168037 has 32 divisors (see below), whose sum is σ = 155443200. Its totient is φ = 65458368.

The previous prime is 107168011. The next prime is 107168057. The reversal of 107168037 is 730861701.

It is not a de Polignac number, because 107168037 - 210 = 107167013 is a prime.

It is a super-2 number, since 2×1071680372 = 22969976308866738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107167989 and 107168007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107168057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291828 + ... + 292194.

It is an arithmetic number, because the mean of its divisors is an integer number (4857600).

Almost surely, 2107168037 is an apocalyptic number.

It is an amenable number.

107168037 is a deficient number, since it is larger than the sum of its proper divisors (48275163).

107168037 is a wasteful number, since it uses less digits than its factorization.

107168037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545.

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 107168037 is about 10352.1996213365. The cubic root of 107168037 is about 474.9943297569.

The spelling of 107168037 in words is "one hundred seven million, one hundred sixty-eight thousand, thirty-seven".

Divisors: 1 3 19 47 57 109 141 327 367 893 1101 2071 2679 5123 6213 6973 15369 17249 20919 40003 51747 97337 120009 292011 327731 760057 983193 1880141 2280171 5640423 35722679 107168037