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105231393 = 35433051
BaseRepresentation
bin1100100010110…
…11010000100001
321100000022100000
412101123100201
5203414401033
614235250213
72415311031
oct621332041
9240008300
10105231393
11544449a3
122b2a9969
1318a559c7
14dd938c1
159389a13
hex645b421

105231393 has 12 divisors (see below), whose sum is σ = 157630928. Its totient is φ = 70154100.

The previous prime is 105231361. The next prime is 105231403. The reversal of 105231393 is 393132501.

It is a happy number.

105231393 is a `hidden beast` number, since 1 + 0 + 523 + 139 + 3 = 666.

It is not a de Polignac number, because 105231393 - 25 = 105231361 is a prime.

It is a super-2 number, since 2×1052313932 = 22147292145440898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105231353) 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 11 ways as a sum of consecutive naturals, for example, 216283 + ... + 216768.

Almost surely, 2105231393 is an apocalyptic number.

It is an amenable number.

105231393 is a deficient number, since it is larger than the sum of its proper divisors (52399535).

105231393 is an frugal number, since it uses more digits than its factorization.

105231393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433066 (or 433054 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 105231393 is about 10258.2353745661. The cubic root of 105231393 is about 472.1156965855.

Adding to 105231393 its reverse (393132501), we get a palindrome (498363894).

The spelling of 105231393 in words is "one hundred five million, two hundred thirty-one thousand, three hundred ninety-three".

Divisors: 1 3 9 27 81 243 433051 1299153 3897459 11692377 35077131 105231393