Search a number
-
+
109209105 = 32517142757
BaseRepresentation
bin1101000001001…
…10011000010001
321121111101201200
412200212120101
5210424142410
614500421413
72464155615
oct640463021
9247441650
10109209105
1156711465
12306a7869
1319819395
141070b345
1598c33c0
hex6826611

109209105 has 24 divisors (see below), whose sum is σ = 200432232. Its totient is φ = 54818304.

The previous prime is 109209101. The next prime is 109209119. The reversal of 109209105 is 501902901.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 97594641 = 3408^2 + 9879^2 .

It is not a de Polignac number, because 109209105 - 22 = 109209101 is a prime.

It is a super-2 number, since 2×1092091052 = 23853257229802050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (109209101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70614 + ... + 72143.

It is an arithmetic number, because the mean of its divisors is an integer number (8351343).

Almost surely, 2109209105 is an apocalyptic number.

109209105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109209105 is a deficient number, since it is larger than the sum of its proper divisors (91223127).

109209105 is a wasteful number, since it uses less digits than its factorization.

109209105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142785 (or 142782 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 109209105 is about 10450.3160239296. The cubic root of 109209105 is about 477.9908861319.

The spelling of 109209105 in words is "one hundred nine million, two hundred nine thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 142757 428271 713785 1284813 2141355 2426869 6424065 7280607 12134345 21841821 36403035 109209105