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105391071 = 333903373
BaseRepresentation
bin1100100100000…
…10001111011111
321100022102101000
412102002033133
5203440003241
614242521343
72416544412
oct622021737
9240272330
10105391071
1154543965
122b366253
1318ab05a6
14ddd5b79
1593bbeb6
hex64823df

105391071 has 8 divisors (see below), whose sum is σ = 156134960. Its totient is φ = 70260696.

The previous prime is 105391063. The next prime is 105391079. The reversal of 105391071 is 170193501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105391063) and next prime (105391079).

It is not a de Polignac number, because 105391071 - 23 = 105391063 is a prime.

It is a super-2 number, since 2×1053910712 = 22214555693054082, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3903373 = 105391071 / (1 + 0 + 5 + 3 + 9 + 1 + 0 + 7 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105391079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1951660 + ... + 1951713.

It is an arithmetic number, because the mean of its divisors is an integer number (19516870).

Almost surely, 2105391071 is an apocalyptic number.

105391071 is a deficient number, since it is larger than the sum of its proper divisors (50743889).

105391071 is an equidigital number, since it uses as much as digits as its factorization.

105391071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903382 (or 3903376 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 105391071 is about 10266.0153418939. The cubic root of 105391071 is about 472.3543718505.

The spelling of 105391071 in words is "one hundred five million, three hundred ninety-one thousand, seventy-one".

Divisors: 1 3 9 27 3903373 11710119 35130357 105391071