Search a number
-
+
109905075 = 32527312251
BaseRepresentation
bin1101000110100…
…00010010110011
321122210202102100
412203100102303
5211113430300
614523351443
72503114650
oct643202263
9248722370
10109905075
1157047345
1230982583
1319a010b7
141084cc27
1599ae700
hex68d04b3

109905075 has 72 divisors (see below), whose sum is σ = 232334336. Its totient is φ = 48600000.

The previous prime is 109905071. The next prime is 109905091. The reversal of 109905075 is 570509901.

It is a happy number.

It is not a de Polignac number, because 109905075 - 22 = 109905071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (109905071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47700 + ... + 49950.

Almost surely, 2109905075 is an apocalyptic number.

109905075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109905075 is an abundant number, since it is smaller than the sum of its proper divisors (122429261).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109905075 is a wasteful number, since it uses less digits than its factorization.

109905075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 14175, while the sum is 36.

The square root of 109905075 is about 10483.5621331683. The cubic root of 109905075 is about 479.0041201233.

The spelling of 109905075 in words is "one hundred nine million, nine hundred five thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 155 175 217 225 279 315 465 525 651 775 1085 1395 1575 1953 2251 2325 3255 5425 6753 6975 9765 11255 15757 16275 20259 33765 47271 48825 56275 69781 78785 101295 141813 168825 209343 236355 348905 393925 488467 506475 628029 709065 1046715 1181775 1465401 1744525 2442335 3140145 3545325 4396203 5233575 7327005 12211675 15700725 21981015 36635025 109905075