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105145434012 = 2236723735233
BaseRepresentation
bin110000111101100100…
…1111111111110011100
3101001101202200110202210
41201323021333332130
53210314212342022
6120145251320420
710411413304563
oct1417311777634
9331352613683
10105145434012
1140656946903
1218464bb0110
139bb882bb58
14513657cbda
152b05d1ca0c
hex187b27ff9c

105145434012 has 72 divisors (see below), whose sum is σ = 249771211536. Its totient is φ = 34426225152.

The previous prime is 105145434011. The next prime is 105145434013. The reversal of 105145434012 is 210434541501.

It is an interprime number because it is at equal distance from previous prime (105145434011) and next prime (105145434013).

It is a super-2 number, since 2×1051454340122 (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 (105145434011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20090148 + ... + 20095380.

Almost surely, 2105145434012 is an apocalyptic number.

105145434012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105145434012 is an abundant number, since it is smaller than the sum of its proper divisors (144625777524).

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

105145434012 is a wasteful number, since it uses less digits than its factorization.

105145434012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 105145434012 its reverse (210434541501), we get a palindrome (315579975513).

The spelling of 105145434012 in words is "one hundred five billion, one hundred forty-five million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 67 134 201 268 373 402 746 804 1119 1492 2238 4476 4489 5233 8978 10466 13467 15699 17956 20932 24991 26934 31398 49982 53868 62796 74973 99964 149946 299892 350611 701222 1051833 1402444 1674397 1951909 2103666 3348794 3903818 4207332 5023191 5855727 6697588 7807636 10046382 11711454 20092764 23422908 23490937 46981874 70472811 93963748 130777903 140945622 261555806 281891244 392333709 523111612 784667418 1569334836 8762119501 17524239002 26286358503 35048478004 52572717006 105145434012