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105273413 = 722148437
BaseRepresentation
bin1100100011001…
…01100001000101
321100002102222022
412101211201011
5203422222123
614240212525
72415544400
oct621454105
9240072868
10105273413
1154473523
122b30a145
1318a6bb7b
14dda4d37
1593971c8
hex6465845

105273413 has 6 divisors (see below), whose sum is σ = 122460966. Its totient is φ = 90234312.

The previous prime is 105273409. The next prime is 105273431. The reversal of 105273413 is 314372501.

It can be written as a sum of positive squares in only one way, i.e., 74615044 + 30658369 = 8638^2 + 5537^2 .

It is not a de Polignac number, because 105273413 - 22 = 105273409 is a prime.

It is a super-2 number, since 2×1052734132 = 22164982969337138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105273463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1074170 + ... + 1074267.

It is an arithmetic number, because the mean of its divisors is an integer number (20410161).

Almost surely, 2105273413 is an apocalyptic number.

It is an amenable number.

105273413 is a deficient number, since it is larger than the sum of its proper divisors (17187553).

105273413 is an equidigital number, since it uses as much as digits as its factorization.

105273413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148451 (or 2148444 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 105273413 is about 10260.2832806897. The cubic root of 105273413 is about 472.1785284745.

The spelling of 105273413 in words is "one hundred five million, two hundred seventy-three thousand, four hundred thirteen".

Divisors: 1 7 49 2148437 15039059 105273413