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105012353468 = 221119233539111
BaseRepresentation
bin110000111001100111…
…0010101100110111100
3101001001111021021120202
41201303032111212330
53210031130302333
6120124135103032
710405206163631
oct1416316254674
9331044237522
10105012353468
1140598810490
1218428511a78
139b970a5179
145122a1a188
152ae92d15e8
hex18733959bc

105012353468 has 48 divisors (see below), whose sum is σ = 211935709440. Its totient is φ = 45026467200.

The previous prime is 105012353461. The next prime is 105012353491. The reversal of 105012353468 is 864353210501.

It is a happy number.

It is a super-2 number, since 2×1050123534682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105012353461) 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, 74768 + ... + 464343.

It is an arithmetic number, because the mean of its divisors is an integer number (4415327280).

Almost surely, 2105012353468 is an apocalyptic number.

It is an amenable number.

105012353468 is an abundant number, since it is smaller than the sum of its proper divisors (106923355972).

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

105012353468 is a wasteful number, since it uses less digits than its factorization.

105012353468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539378 (or 539376 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

Adding to 105012353468 its reverse (864353210501), we get a palindrome (969365563969).

The spelling of 105012353468 in words is "one hundred five billion, twelve million, three hundred fifty-three thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 19 22 38 44 76 209 233 418 466 836 932 2563 4427 5126 8854 10252 17708 48697 97394 194788 539111 1078222 2156444 5930221 10243109 11860442 20486218 23720884 40972436 112674199 125612863 225348398 251225726 450696796 502451452 1381741493 2386644397 2763482986 4773288794 5526965972 9546577588 26253088367 52506176734 105012353468