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106006076110 = 251110122342787
BaseRepresentation
bin110001010111001110…
…1000101101011001110
3101010121202010121210001
41202232131011223032
53214100023413420
6120410514034514
710441633531324
oct1425635055316
9333552117701
10106006076110
1140a58736a70
1218665278a3a
139cc4c2502c
1451b89b1d14
152b56672b0a
hex18ae745ace

106006076110 has 64 divisors (see below), whose sum is σ = 211165968384. Its totient is φ = 37993968000.

The previous prime is 106006076107. The next prime is 106006076177. The reversal of 106006076110 is 11670600601.

It is a super-2 number, since 2×1060060761102 (a number of 23 digits) 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, 2456137 + ... + 2498923.

It is an arithmetic number, because the mean of its divisors is an integer number (3299468256).

Almost surely, 2106006076110 is an apocalyptic number.

106006076110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106006076110 is a deficient number, since it is larger than the sum of its proper divisors (105159892274).

106006076110 is a wasteful number, since it uses less digits than its factorization.

106006076110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43129.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 106006076110 its reverse (11670600601), we get a palindrome (117676676711).

The spelling of 106006076110 in words is "one hundred six billion, six million, seventy-six thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 101 110 202 223 446 505 1010 1111 1115 2222 2230 2453 4906 5555 11110 12265 22523 24530 42787 45046 85574 112615 213935 225230 247753 427870 470657 495506 941314 1238765 2353285 2477530 4321487 4706570 8642974 9541501 19083002 21607435 43214870 47536357 47707505 95072714 95415010 104956511 209913022 237681785 475363570 524782555 963691601 1049565110 1927383202 4818458005 9636916010 10600607611 21201215222 53003038055 106006076110