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105034234520 = 23597107431587
BaseRepresentation
bin110000111010010000…
…1110011101010011000
3101001010000102221202002
41201310201303222120
53210102231001040
6120130240100132
710405563156035
oct1416441635230
9331100387662
10105034234520
11405aa0a5aa6
1218433904648
139b9b796837
1451258b438c
152aeb1a4a15
hex1874873a98

105034234520 has 128 divisors (see below), whose sum is σ = 241965480960. Its totient is φ = 41026375680.

The previous prime is 105034234493. The next prime is 105034234523. The reversal of 105034234520 is 25432430501.

It is a happy number.

It is a super-2 number, since 2×1050342345202 (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 (105034234523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178933667 + ... + 178934253.

It is an arithmetic number, because the mean of its divisors is an integer number (1890355320).

Almost surely, 2105034234520 is an apocalyptic number.

105034234520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105034234520 is an abundant number, since it is smaller than the sum of its proper divisors (136931246440).

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

105034234520 is a wasteful number, since it uses less digits than its factorization.

105034234520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 105034234520 in words is "one hundred five billion, thirty-four million, two hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 107 194 214 388 428 431 485 535 587 776 856 862 970 1070 1174 1724 1940 2140 2155 2348 2935 3448 3880 4280 4310 4696 5870 8620 10379 11740 17240 20758 23480 41516 41807 46117 51895 56939 62809 83032 83614 92234 103790 113878 125618 167228 184468 207580 209035 227756 230585 251236 252997 284695 314045 334456 368936 415160 418070 455512 461170 502472 505994 569390 628090 836140 922340 1011988 1138780 1256180 1264985 1672280 1844680 2023976 2277560 2512360 2529970 4473349 5059940 6092473 8946698 10119880 12184946 17893396 22366745 24369892 24540709 27070679 30462365 35786792 44733490 48739784 49081418 54141358 60924730 89466980 98162836 108282716 121849460 122703545 135353395 178933960 196325672 216565432 243698920 245407090 270706790 490814180 541413580 981628360 1082827160 2625855863 5251711726 10503423452 13129279315 21006846904 26258558630 52517117260 105034234520