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105065721556 = 22857127724001
BaseRepresentation
bin110000111011001100…
…1111010111011010100
3101001012012200122211121
41201312121322323110
53210133311042211
6120133323013324
710406424620005
oct1416631727324
9331165618747
10105065721556
1140615951744
121844236a244
139ba516c613
145129b4d1ac
152aedd24271
hex187667aed4

105065721556 has 24 divisors (see below), whose sum is σ = 184231383336. Its totient is φ = 52428288000.

The previous prime is 105065721529. The next prime is 105065721557. The reversal of 105065721556 is 655127560501.

It can be written as a sum of positive squares in 4 ways, for example, as 34291632400 + 70774089156 = 185180^2 + 266034^2 .

It is a super-2 number, since 2×1050657215562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065721557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4365556 + ... + 4389556.

It is an arithmetic number, because the mean of its divisors is an integer number (7676307639).

Almost surely, 2105065721556 is an apocalyptic number.

It is an amenable number.

105065721556 is a deficient number, since it is larger than the sum of its proper divisors (79165661780).

105065721556 is a wasteful number, since it uses less digits than its factorization.

105065721556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26139 (or 26137 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 43.

The spelling of 105065721556 in words is "one hundred five billion, sixty-five million, seven hundred twenty-one thousand, five hundred fifty-six".

Divisors: 1 2 4 857 1277 1714 2554 3428 5108 24001 48002 96004 1094389 2188778 4377556 20568857 30649277 41137714 61298554 82275428 122597108 26266430389 52532860778 105065721556