Search a number
-
+
106601110 = 25711167829
BaseRepresentation
bin1100101101010…
…01101010010110
321102120220020021
412112221222112
5204242213420
614324455354
72433044260
oct626515226
9242526207
10106601110
115519aaa0
122b84a55a
13191152a5
141022cb30
15955a7aa
hex65a9a96

106601110 has 64 divisors (see below), whose sum is σ = 240952320. Its totient is φ = 32987520.

The previous prime is 106601083. The next prime is 106601137. The reversal of 106601110 is 11106601.

It is an interprime number because it is at equal distance from previous prime (106601083) and next prime (106601137).

It is a super-2 number, since 2×1066011102 = 22727593306464200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128176 + ... + 129004.

It is an arithmetic number, because the mean of its divisors is an integer number (3764880).

Almost surely, 2106601110 is an apocalyptic number.

106601110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106601110 is an abundant number, since it is smaller than the sum of its proper divisors (134351210).

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

106601110 is a wasteful number, since it uses less digits than its factorization.

106601110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 106601110 is about 10324.7813536171. The cubic root of 106601110 is about 474.1552631591.

Adding to 106601110 its reverse (11106601), we get a palindrome (117707711).

The spelling of 106601110 in words is "one hundred six million, six hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 167 334 385 770 829 835 1169 1658 1670 1837 2338 3674 4145 5803 5845 8290 9119 9185 11606 11690 12859 18238 18370 25718 29015 45595 58030 63833 64295 91190 127666 128590 138443 276886 319165 638330 692215 969101 1384430 1522873 1938202 3045746 4845505 7614365 9691010 10660111 15228730 21320222 53300555 106601110