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105134415 = 3561114901
BaseRepresentation
bin1100100010000…
…11100101001111
321022211101022020
412101003211033
5203403300130
614233221223
72414425221
oct621034517
9238741266
10105134415
1154389051
122b261813
1318a20819
14dd6a411
15936ae10
hex644394f

105134415 has 16 divisors (see below), whose sum is σ = 170974176. Its totient is φ = 55152000.

The previous prime is 105134413. The next prime is 105134417. The reversal of 105134415 is 514431501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105134413) and next prime (105134417).

It is not a de Polignac number, because 105134415 - 21 = 105134413 is a prime.

It is a super-2 number, since 2×1051344152 = 22106490434784450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105134411) 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, 56536 + ... + 58365.

It is an arithmetic number, because the mean of its divisors is an integer number (10685886).

Almost surely, 2105134415 is an apocalyptic number.

105134415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105134415 is a deficient number, since it is larger than the sum of its proper divisors (65839761).

105134415 is a wasteful number, since it uses less digits than its factorization.

105134415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114970.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105134415 is about 10253.5074486734. The cubic root of 105134415 is about 471.9706229322.

Adding to 105134415 its reverse (514431501), we get a palindrome (619565916).

The spelling of 105134415 in words is "one hundred five million, one hundred thirty-four thousand, four hundred fifteen".

Divisors: 1 3 5 15 61 183 305 915 114901 344703 574505 1723515 7008961 21026883 35044805 105134415