Search a number
-
+
106034181 = 31115532069
BaseRepresentation
bin1100101000111…
…11010000000101
321101112002112220
412110133100011
5204121043211
614304402553
72425163361
oct624372005
9241462486
10106034181
1154943060
122b616459
1318c77226
14101222a1
159497806
hex651f405

106034181 has 16 divisors (see below), whose sum is σ = 154405440. Its totient is φ = 64190720.

The previous prime is 106034177. The next prime is 106034183. The reversal of 106034181 is 181430601.

It is not a de Polignac number, because 106034181 - 22 = 106034177 is a prime.

It is a super-2 number, since 2×1060341812 = 22486495080681522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106034183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50215 + ... + 52283.

It is an arithmetic number, because the mean of its divisors is an integer number (9650340).

Almost surely, 2106034181 is an apocalyptic number.

106034181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106034181 is a deficient number, since it is larger than the sum of its proper divisors (48371259).

106034181 is a wasteful number, since it uses less digits than its factorization.

106034181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 106034181 is about 10297.2899832917. The cubic root of 106034181 is about 473.3132133990.

Adding to 106034181 its reverse (181430601), we get a palindrome (287464782).

The spelling of 106034181 in words is "one hundred six million, thirty-four thousand, one hundred eighty-one".

Divisors: 1 3 11 33 1553 2069 4659 6207 17083 22759 51249 68277 3213157 9639471 35344727 106034181