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106651660 = 225411131151
BaseRepresentation
bin1100101101101…
…10000000001100
321102200110120111
412112312000030
5204300323120
614325525404
72433344533
oct626660014
9242613514
10106651660
1155224a75
122b873864
13191322bb
141024331a
15956a75a
hex65b600c

106651660 has 48 divisors (see below), whose sum is σ = 231662592. Its totient is φ = 41216000.

The previous prime is 106651651. The next prime is 106651691. The reversal of 106651660 is 66156601.

It is a super-2 number, since 2×1066516602 = 22749153161511200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92085 + ... + 93235.

It is an arithmetic number, because the mean of its divisors is an integer number (4826304).

Almost surely, 2106651660 is an apocalyptic number.

106651660 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 106651660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296).

106651660 is an abundant number, since it is smaller than the sum of its proper divisors (125010932).

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

106651660 is a wasteful number, since it uses less digits than its factorization.

106651660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 106651660 is about 10327.2290572060. The cubic root of 106651660 is about 474.2301990922.

The spelling of 106651660 in words is "one hundred six million, six hundred fifty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 1151 2260 2302 4604 4633 5755 9266 11510 18532 23020 23165 46330 47191 92660 94382 130063 188764 235955 260126 471910 520252 650315 943820 1300630 2601260 5332583 10665166 21330332 26662915 53325830 106651660