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106106660 = 22511716793
BaseRepresentation
bin1100101001100…
…00111100100100
321101122202222022
412110300330210
5204130403120
614310122312
72425614602
oct624607444
9241582868
10106106660
1154992560
122b650398
1318ca120a
1410140872
1594ae025
hex6530f24

106106660 has 48 divisors (see below), whose sum is σ = 246540672. Its totient is φ = 38035200.

The previous prime is 106106641. The next prime is 106106719. The reversal of 106106660 is 66601601.

It is a super-2 number, since 2×1061066602 = 22517246592711200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12224 + ... + 19016.

It is an arithmetic number, because the mean of its divisors is an integer number (5136264).

Almost surely, 2106106660 is an apocalyptic number.

106106660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106106660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123270336).

106106660 is an abundant number, since it is smaller than the sum of its proper divisors (140434012).

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

106106660 is a wasteful number, since it uses less digits than its factorization.

106106660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106106660 is about 10300.8087061162. The cubic root of 106106660 is about 473.4210322635.

The spelling of 106106660 in words is "one hundred six million, one hundred six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 6793 7810 13586 15620 27172 33965 67930 74723 135860 149446 298892 373615 482303 747230 964606 1494460 1929212 2411515 4823030 5305333 9646060 10610666 21221332 26526665 53053330 106106660