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105561511055 = 57111346145751
BaseRepresentation
bin110001001001111110…
…1001101010010001111
3101002110202121101011122
41202103331031102033
53212142221323210
6120254433311155
710424625016310
oct1422375152217
9332422541148
10105561511055
114084a7a2730
12185604054bb
139c53aac0a0
14517592a607
152b2c609b55
hex1893f4d48f

105561511055 has 64 divisors (see below), whose sum is σ = 170452187136. Its totient is φ = 60609600000.

The previous prime is 105561511049. The next prime is 105561511079. The reversal of 105561511055 is 550115165501.

It is not a de Polignac number, because 105561511055 - 212 = 105561506959 is a prime.

It is a super-2 number, since 2×1055615110552 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2284430 + ... + 2330180.

It is an arithmetic number, because the mean of its divisors is an integer number (2663315424).

Almost surely, 2105561511055 is an apocalyptic number.

105561511055 is a deficient number, since it is larger than the sum of its proper divisors (64890676081).

105561511055 is a wasteful number, since it uses less digits than its factorization.

105561511055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46248.

The product of its (nonzero) digits is 18750, while the sum is 35.

Adding to 105561511055 its reverse (550115165501), we get a palindrome (655676676556).

It can be divided in two parts, 105561 and 511055, that added together give a palindrome (616616).

The spelling of 105561511055 in words is "one hundred five billion, five hundred sixty-one million, five hundred eleven thousand, fifty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 385 455 461 715 1001 2305 3227 5005 5071 5993 16135 25355 29965 35497 41951 45751 65923 177485 209755 228755 320257 329615 461461 503261 594763 1601285 2307305 2516305 2973815 3522827 4163341 6542393 17614135 20816705 21091211 32711965 45796751 105456055 147638477 228983755 232003321 274185743 738192385 1160016605 1370928715 1624023247 1919300201 3016043173 8120116235 9596501005 15080215865 21112302211 105561511055