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105337141 = 71310611091
BaseRepresentation
bin1100100011101…
…01000100110101
321100012200101121
412101311010311
5203431242031
614241423541
72416231240
oct621650465
9240180347
10105337141
1154507398
122b33abb1
1318a91b90
14ddc0257
1593ab011
hex6475135

105337141 has 16 divisors (see below), whose sum is σ = 129886848. Its totient is φ = 83188800.

The previous prime is 105337139. The next prime is 105337153. The reversal of 105337141 is 141733501.

It is a cyclic number.

It is not a de Polignac number, because 105337141 - 21 = 105337139 is a prime.

It is a super-2 number, since 2×1053371412 = 22191826548107762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105337181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96006 + ... + 97096.

It is an arithmetic number, because the mean of its divisors is an integer number (8117928).

Almost surely, 2105337141 is an apocalyptic number.

It is an amenable number.

105337141 is a deficient number, since it is larger than the sum of its proper divisors (24549707).

105337141 is a wasteful number, since it uses less digits than its factorization.

105337141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105337141 is about 10263.3883781137. The cubic root of 105337141 is about 472.2737881180.

The spelling of 105337141 in words is "one hundred five million, three hundred thirty-seven thousand, one hundred forty-one".

Divisors: 1 7 13 91 1061 1091 7427 7637 13793 14183 96551 99281 1157551 8102857 15048163 105337141