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105551155056 = 2434154179901
BaseRepresentation
bin110001001001101010…
…1101100111101110000
3101002110001010020102010
41202103111230331300
53212132043430211
6120253423322520
710424441005014
oct1422325547560
9332401106363
10105551155056
114084496a056
1218558a50440
139c518c4489
1451743d2544
152b2b7614a6
hex189356cf70

105551155056 has 80 divisors (see below), whose sum is σ = 279404179488. Its totient is φ = 34315776000.

The previous prime is 105551155049. The next prime is 105551155081. The reversal of 105551155056 is 650551155501.

It is a super-2 number, since 2×1055511550562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 10655706 + ... + 10665606.

Almost surely, 2105551155056 is an apocalyptic number.

105551155056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105551155056 is an abundant number, since it is smaller than the sum of its proper divisors (173853024432).

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

105551155056 is a wasteful number, since it uses less digits than its factorization.

105551155056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15370 (or 15364 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 39.

It can be divided in two parts, 10555 and 1155056, that added together give a palindrome (1165611).

The spelling of 105551155056 in words is "one hundred five billion, five hundred fifty-one million, one hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 5417 9901 10834 16251 19802 21668 29703 32502 39604 43336 59406 65004 79208 86672 118812 130008 158416 222097 237624 260016 405941 444194 475248 666291 811882 888388 1217823 1332582 1623764 1776776 2435646 2665164 3247528 3553552 4871292 5330328 6495056 9742584 10660656 19485168 53633717 107267434 160901151 214534868 321802302 429069736 643604604 858139472 1287209208 2198982397 2574418416 4397964794 6596947191 8795929588 13193894382 17591859176 26387788764 35183718352 52775577528 105551155056