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105536020044 = 223713405123857
BaseRepresentation
bin110001001001001101…
…1111101111001001100
3101002101222122022002010
41202102123331321030
53212114210120134
6120252123101220
710424165240430
oct1422233757114
9332358568063
10105536020044
1140837371984
1218553971810
139c4b725550
1451723b29c0
152b2a271ce9
hex18926fde4c

105536020044 has 96 divisors (see below), whose sum is σ = 303165323776. Its totient is φ = 27825638400.

The previous prime is 105536020039. The next prime is 105536020061. The reversal of 105536020044 is 440020635501.

It is a super-3 number, since 3×1055360200443 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105536019993 and 105536020020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4411764 + ... + 4435620.

Almost surely, 2105536020044 is an apocalyptic number.

105536020044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105536020044 is an abundant number, since it is smaller than the sum of its proper divisors (197629303732).

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

105536020044 is a wasteful number, since it uses less digits than its factorization.

105536020044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27935 (or 27933 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105536020044 its reverse (440020635501), we get a palindrome (545556655545).

The spelling of 105536020044 in words is "one hundred five billion, five hundred thirty-six million, twenty thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 4051 8102 12153 16204 23857 24306 28357 47714 48612 52663 56714 71571 85071 95428 105326 113428 143142 157989 166999 170142 210652 286284 310141 315978 333998 340284 368641 500997 620282 631956 667996 737282 930423 1001994 1105923 1240564 1474564 1860846 2003988 2170987 2211846 3721692 4341974 4423692 6512961 8683948 13025922 26051844 96644707 193289414 289934121 386578828 579868242 676512949 1159736484 1256381191 1353025898 2029538847 2512762382 2706051796 3769143573 4059077694 5025524764 7538287146 8118155388 8794668337 15076574292 17589336674 26384005011 35178673348 52768010022 105536020044