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106110566655 = 35311916131949
BaseRepresentation
bin110001011010010101…
…1101100000011111111
3101010220000202021212020
41202310223230003333
53214303301113110
6120425125411223
710444342635432
oct1426453540377
9333800667766
10106110566655
1141001715295
1218694269b13
13a01077b762
1451c8811819
152b60912d70
hex18b4aec0ff

106110566655 has 64 divisors (see below), whose sum is σ = 176549068800. Its totient is φ = 54363225600.

The previous prime is 106110566651. The next prime is 106110566669. The reversal of 106110566655 is 556665011601.

It is not a de Polignac number, because 106110566655 - 22 = 106110566651 is a prime.

It is a super-2 number, since 2×1061105666552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106110566651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54442621 + ... + 54444569.

It is an arithmetic number, because the mean of its divisors is an integer number (2758579200).

Almost surely, 2106110566655 is an apocalyptic number.

106110566655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106110566655 is a deficient number, since it is larger than the sum of its proper divisors (70438502145).

106110566655 is a wasteful number, since it uses less digits than its factorization.

106110566655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 106110566655 in words is "one hundred six billion, one hundred ten million, five hundred sixty-six thousand, six hundred fifty-five".

Divisors: 1 3 5 15 31 93 155 191 465 573 613 955 1839 1949 2865 3065 5847 5921 9195 9745 17763 19003 29235 29605 57009 60419 88815 95015 117083 181257 285045 302095 351249 372259 585415 906285 1116777 1194737 1756245 1861295 3584211 3629573 5583885 5973685 10888719 11540029 17921055 18147865 34620087 37036847 54443595 57700145 111110541 173100435 185184235 228194767 555552705 684584301 1140973835 3422921505 7074037777 21222113331 35370188885 106110566655