Search a number
-
+
110106045 = 32571918397
BaseRepresentation
bin1101001000000…
…01010110111101
321200011222002200
412210001112331
5211141343140
614531542113
72504612610
oct644012675
9250158080
10110106045
1157174335
1230a5a939
1319a7170a
14108a2177
1599ee030
hex69015bd

110106045 has 48 divisors (see below), whose sum is σ = 229607040. Its totient is φ = 47682432.

The previous prime is 110106001. The next prime is 110106049. The reversal of 110106045 is 540601011.

It is not a de Polignac number, because 110106045 - 26 = 110105981 is a prime.

It is a super-2 number, since 2×1101060452 = 24246682291084050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110106049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3214 + ... + 15183.

It is an arithmetic number, because the mean of its divisors is an integer number (4783480).

Almost surely, 2110106045 is an apocalyptic number.

110106045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110106045 is an abundant number, since it is smaller than the sum of its proper divisors (119500995).

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

110106045 is a wasteful number, since it uses less digits than its factorization.

110106045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18434 (or 18431 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 110106045 is about 10493.1427608701. The cubic root of 110106045 is about 479.2959078054.

Adding to 110106045 its reverse (540601011), we get a palindrome (650707056).

The spelling of 110106045 in words is "one hundred ten million, one hundred six thousand, forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 18397 55191 91985 128779 165573 275955 349543 386337 643895 827865 1048629 1159011 1747715 1931685 2446801 3145887 5243145 5795055 7340403 12234005 15729435 22021209 36702015 110106045