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106109133260 = 225132411693411
BaseRepresentation
bin110001011010010011…
…0001110000111001100
3101010212221001110121112
41202310212032013030
53214302414231020
6120425034551152
710444324515434
oct1426446160714
9333787043545
10106109133260
1141000926369
12186938984b8
13a0103991b0
1451c855b2c4
152b6072d2c5
hex18b498e1cc

106109133260 has 48 divisors (see below), whose sum is σ = 240965753952. Its totient is φ = 39016166400.

The previous prime is 106109133239. The next prime is 106109133293. The reversal of 106109133260 is 62331901601.

It is a super-2 number, since 2×1061091332602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784046 + ... + 909365.

It is an arithmetic number, because the mean of its divisors is an integer number (5020119874).

Almost surely, 2106109133260 is an apocalyptic number.

106109133260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106109133260 is an abundant number, since it is smaller than the sum of its proper divisors (134856620692).

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

106109133260 is a wasteful number, since it uses less digits than its factorization.

106109133260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693674 (or 1693672 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 106109133260 in words is "one hundred six billion, one hundred nine million, one hundred thirty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 482 964 1205 2410 3133 4820 6266 12532 15665 31330 62660 1693411 3386822 6773644 8467055 16934110 22014343 33868220 44028686 88057372 110071715 220143430 408112051 440286860 816224102 1632448204 2040560255 4081120510 5305456663 8162241020 10610913326 21221826652 26527283315 53054566630 106109133260