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105145242 = 232931101193
BaseRepresentation
bin1100100010001…
…10001110011010
321022211221011020
412101012032122
5203404121432
614233343310
72414501616
oct621061632
9238757136
10105145242
11543961a4
122b267b36
1318a25727
14dd70346
15936e22c
hex644639a

105145242 has 64 divisors (see below), whose sum is σ = 227957760. Its totient is φ = 32256000.

The previous prime is 105145241. The next prime is 105145247. The reversal of 105145242 is 242541501.

It is a super-2 number, since 2×1051452422 = 22111043830477128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105145241) 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, 544698 + ... + 544890.

It is an arithmetic number, because the mean of its divisors is an integer number (3561840).

Almost surely, 2105145242 is an apocalyptic number.

105145242 is an abundant number, since it is smaller than the sum of its proper divisors (122812518).

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

105145242 is a wasteful number, since it uses less digits than its factorization.

105145242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 105145242 is about 10254.0354007581. The cubic root of 105145242 is about 471.9868239403.

Adding to 105145242 its reverse (242541501), we get a palindrome (347686743).

The spelling of 105145242 in words is "one hundred five million, one hundred forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 29 31 58 62 87 93 101 174 186 193 202 303 386 579 606 899 1158 1798 2697 2929 3131 5394 5597 5858 5983 6262 8787 9393 11194 11966 16791 17574 17949 18786 19493 33582 35898 38986 58479 90799 116958 173507 181598 272397 347014 520521 544794 565297 604283 1041042 1130594 1208566 1695891 1812849 3391782 3625698 17524207 35048414 52572621 105145242