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105805558056 = 233111381290209
BaseRepresentation
bin110001010001010000…
…0001011000100101000
3101010002202211020201110
41202202200023010220
53213142210324211
6120334552150320
710433650255512
oct1424240130450
9333082736643
10105805558056
114096552a870
121860a0983a0
139c92518cb3
14519a0d6bb2
152b43c64ea6
hex18a280b128

105805558056 has 64 divisors (see below), whose sum is σ = 288770558400. Its totient is φ = 32038963200.

The previous prime is 105805558043. The next prime is 105805558057. The reversal of 105805558056 is 650855508501.

It is a super-2 number, since 2×1058055580562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105805557996 and 105805558014.

It is not an unprimeable number, because it can be changed into a prime (105805558057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219480 + ... + 509688.

It is an arithmetic number, because the mean of its divisors is an integer number (4512039975).

Almost surely, 2105805558056 is an apocalyptic number.

It is an amenable number.

105805558056 is an abundant number, since it is smaller than the sum of its proper divisors (182965000344).

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

105805558056 is a wasteful number, since it uses less digits than its factorization.

105805558056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291610 (or 291606 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 48.

It can be divided in two parts, 1058055 and 58056, that added together give a palindrome (1116111).

The spelling of 105805558056 in words is "one hundred five billion, eight hundred five million, five hundred fifty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1381 2762 4143 5524 8286 11048 15191 16572 30382 33144 45573 60764 91146 121528 182292 290209 364584 580418 870627 1160836 1741254 2321672 3192299 3482508 6384598 6965016 9576897 12769196 19153794 25538392 38307588 76615176 400778629 801557258 1202335887 1603114516 2404671774 3206229032 4408564919 4809343548 8817129838 9618687096 13225694757 17634259676 26451389514 35268519352 52902779028 105805558056