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105125042 = 21131723101
BaseRepresentation
bin1100100010000…
…01010010110010
321022210220110002
412101001102302
5203403000132
614233110002
72414356001
oct621012262
9238726402
10105125042
1154382000
122b258302
1318a19489
14dd66c38
159368262
hex64414b2

105125042 has 64 divisors (see below), whose sum is σ = 193529088. Its totient is φ = 42592000.

The previous prime is 105125017. The next prime is 105125047. The reversal of 105125042 is 240521501.

It is a super-2 number, since 2×1051250422 = 22102548911003528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105125047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040792 + ... + 1040892.

It is an arithmetic number, because the mean of its divisors is an integer number (3023892).

Almost surely, 2105125042 is an apocalyptic number.

105125042 is a deficient number, since it is larger than the sum of its proper divisors (88404046).

105125042 is a wasteful number, since it uses less digits than its factorization.

105125042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105125042 is about 10253.0503753761. The cubic root of 105125042 is about 471.9565967223.

Adding to 105125042 its reverse (240521501), we get a palindrome (345646543).

The spelling of 105125042 in words is "one hundred five million, one hundred twenty-five thousand, forty-two".

Divisors: 1 2 11 17 22 23 34 46 101 121 187 202 242 253 374 391 506 782 1111 1331 1717 2057 2222 2323 2662 2783 3434 4114 4301 4646 5566 8602 12221 18887 22627 24442 25553 30613 37774 39491 45254 47311 51106 61226 78982 94622 134431 207757 268862 281083 415514 434401 520421 562166 868802 1040842 2285327 3091913 4570654 4778411 6183826 9556822 52562521 105125042