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105332941 = 719273571
BaseRepresentation
bin1100100011101…
…00000011001101
321100012110122001
412101310003031
5203431123231
614241352301
72416213060
oct621640315
9240173561
10105332941
115450421a
122b338691
1318a8ccac
14ddbc8d7
1593a9b61
hex64740cd

105332941 has 24 divisors (see below), whose sum is σ = 129015744. Its totient is φ = 84214080.

The previous prime is 105332933. The next prime is 105332957. The reversal of 105332941 is 149233501.

It is not a de Polignac number, because 105332941 - 23 = 105332933 is a prime.

It is a super-2 number, since 2×1053329412 = 22190056919418962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105332921) 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, 184186 + ... + 184756.

It is an arithmetic number, because the mean of its divisors is an integer number (5375656).

Almost surely, 2105332941 is an apocalyptic number.

It is an amenable number.

105332941 is a deficient number, since it is larger than the sum of its proper divisors (23682803).

105332941 is an equidigital number, since it uses as much as digits as its factorization.

105332941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 105332941 is about 10263.1837652845. The cubic root of 105332941 is about 472.2675112048.

The spelling of 105332941 in words is "one hundred five million, three hundred thirty-two thousand, nine hundred forty-one".

Divisors: 1 7 19 73 133 361 511 571 1387 2527 3997 9709 10849 26353 41683 75943 184471 206131 291781 791977 1442917 5543839 15047563 105332941