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105561660556 = 221110143375477
BaseRepresentation
bin110001001001111110…
…1110001110010001100
3101002110202212222020201
41202103331301302030
53212142241114211
6120254440423244
710424626211212
oct1422375616214
9332422788221
10105561660556
114084a894a90
1218560477b24
139c53b32151
145175968cb2
152b2c6390c1
hex1893f71c8c

105561660556 has 48 divisors (see below), whose sum is σ = 203606216352. Its totient is φ = 47487872000.

The previous prime is 105561660553. The next prime is 105561660563. The reversal of 105561660556 is 655066165501.

It is a super-2 number, since 2×1055616605562 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105561660551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19270890 + ... + 19276366.

It is an arithmetic number, because the mean of its divisors is an integer number (4241796174).

Almost surely, 2105561660556 is an apocalyptic number.

It is an amenable number.

105561660556 is a deficient number, since it is larger than the sum of its proper divisors (98044555796).

105561660556 is a wasteful number, since it uses less digits than its factorization.

105561660556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 105561660556 in words is "one hundred five billion, five hundred sixty-one million, six hundred sixty thousand, five hundred fifty-six".

Divisors: 1 2 4 11 22 44 101 202 404 1111 2222 4337 4444 5477 8674 10954 17348 21908 47707 60247 95414 120494 190828 240988 438037 553177 876074 1106354 1752148 2212708 4818407 6084947 9636814 12169894 19273628 23753749 24339788 47507498 95014996 261291239 522582478 1045164956 2399128649 4798257298 9596514596 26390415139 52780830278 105561660556