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2105357 is a prime number
BaseRepresentation
bin1000000010000000001101
310221222000012
420002000031
51014332412
6113043005
723616032
oct10020015
93858005
102105357
111208871
12856465
13589397
143cb389
152b8c22
hex20200d

2105357 has 2 divisors, whose sum is σ = 2105358. Its totient is φ = 2105356.

The previous prime is 2105347. The next prime is 2105359. The reversal of 2105357 is 7535012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1713481 + 391876 = 1309^2 + 626^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105357 - 212 = 2101261 is a prime.

Together with 2105359, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is equal to p156182 and since 2105357 and 156182 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2105359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052678 + 1052679.

It is an arithmetic number, because the mean of its divisors is an integer number (1052679).

22105357 is an apocalyptic number.

It is an amenable number.

2105357 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105357 is an equidigital number, since it uses as much as digits as its factorization.

2105357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 2105357 is about 1450.9848379635. The cubic root of 2105357 is about 128.1667139211.

It can be divided in two parts, 21053 and 57, that multiplied together give a palindrome (1200021).

The spelling of 2105357 in words is "two million, one hundred five thousand, three hundred fifty-seven".