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105550651050 = 235213217924841
BaseRepresentation
bin110001001001101001…
…1110001111010101010
3101002110000011122001020
41202103103301322222
53212131431313200
6120253404433310
710424433505425
oct1422323617252
9332400148036
10105550651050
1140844655419
1218558848836
139c51778c50
1451743009bc
152b2b6b1ea0
hex18934f1eaa

105550651050 has 96 divisors (see below), whose sum is σ = 282042156480. Its totient is φ = 25968729600.

The previous prime is 105550651033. The next prime is 105550651057. The reversal of 105550651050 is 50156055501.

It is a super-2 number, since 2×1055506510502 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105550651057) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4236630 + ... + 4261470.

It is an arithmetic number, because the mean of its divisors is an integer number (2937939130).

Almost surely, 2105550651050 is an apocalyptic number.

105550651050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105550651050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141021078240).

105550651050 is an abundant number, since it is smaller than the sum of its proper divisors (176491505430).

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

105550651050 is a wasteful number, since it uses less digits than its factorization.

105550651050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27048 (or 27043 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105550651050 in words is "one hundred five billion, five hundred fifty million, six hundred fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 2179 4358 6537 10895 13074 21790 24841 28327 32685 49682 54475 56654 65370 74523 84981 108950 124205 141635 149046 163425 169962 248410 283270 322933 326850 372615 424905 621025 645866 708175 745230 849810 968799 1242050 1416350 1614665 1863075 1937598 2124525 3229330 3726150 4249050 4843995 8073325 9687990 16146650 24219975 48439950 54128539 108257078 162385617 270642695 324771234 541285390 703671007 811928085 1353213475 1407342014 1623856170 2111013021 2706426950 3518355035 4059640425 4222026042 7036710070 8119280850 10555065105 17591775175 21110130210 35183550350 52775325525 105550651050