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105168371 = 71110113523
BaseRepresentation
bin1100100010010…
…11110111110011
321022220002212212
412101023313303
5203410341441
614234042335
72414626220
oct621136763
9238802785
10105168371
1154401610
122b2793ab
1318a33109
14dd78947
159375eeb
hex644bdf3

105168371 has 16 divisors (see below), whose sum is σ = 132427008. Its totient is φ = 81132000.

The previous prime is 105168347. The next prime is 105168383. The reversal of 105168371 is 173861501.

It is a cyclic number.

It is not a de Polignac number, because 105168371 - 210 = 105167347 is a prime.

It is a super-2 number, since 2×1051683712 = 22120772517587282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105168311) 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, 1016 + ... + 14538.

It is an arithmetic number, because the mean of its divisors is an integer number (8276688).

Almost surely, 2105168371 is an apocalyptic number.

105168371 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105168371 is a deficient number, since it is larger than the sum of its proper divisors (27258637).

105168371 is a wasteful number, since it uses less digits than its factorization.

105168371 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13642.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 105168371 is about 10255.1631386341. The cubic root of 105168371 is about 472.0214293512.

The spelling of 105168371 in words is "one hundred five million, one hundred sixty-eight thousand, three hundred seventy-one".

Divisors: 1 7 11 77 101 707 1111 7777 13523 94661 148753 1041271 1365823 9560761 15024053 105168371