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105793212 = 22373734039
BaseRepresentation
bin1100100111001…
…00011010111100
321101001212000010
412103210122330
5204040340322
614255303220
72423141010
oct623443274
9241055003
10105793212
1154799008
122b51ab10
1318bc1645
141009c540
15944b20c
hex64e46bc

105793212 has 48 divisors (see below), whose sum is σ = 289748480. Its totient is φ = 29408832.

The previous prime is 105793151. The next prime is 105793213. The reversal of 105793212 is 212397501.

It is a super-2 number, since 2×1057932122 = 22384407410553888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105793212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105793213) 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, 13912 + ... + 20127.

Almost surely, 2105793212 is an apocalyptic number.

105793212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105793212 is an abundant number, since it is smaller than the sum of its proper divisors (183955268).

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

105793212 is a wasteful number, since it uses less digits than its factorization.

105793212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34090 (or 34088 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105793212 is about 10285.5827253491. The cubic root of 105793212 is about 472.9543972829.

The spelling of 105793212 in words is "one hundred five million, seven hundred ninety-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 34039 68078 102117 136156 204234 238273 408468 476546 714819 953092 1259443 1429638 2518886 2859276 3778329 5037772 7556658 8816101 15113316 17632202 26448303 35264404 52896606 105793212