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105430413 = 31117238171
BaseRepresentation
bin1100100100010…
…11110110001101
321100101102100010
412102023312031
5203442233123
614243423433
72420100204
oct622136615
9240342303
10105430413
1154570480
122b384b79
1318ac547a
141000623b
1593c8993
hex648bd8d

105430413 has 32 divisors (see below), whose sum is σ = 169454592. Its totient is φ = 57516800.

The previous prime is 105430363. The next prime is 105430439. The reversal of 105430413 is 314034501.

It is not a de Polignac number, because 105430413 - 218 = 105168269 is a prime.

It is a super-2 number, since 2×1054304132 = 22231143970701138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105430413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105430313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8818 + ... + 16988.

It is an arithmetic number, because the mean of its divisors is an integer number (5295456).

Almost surely, 2105430413 is an apocalyptic number.

It is an amenable number.

105430413 is a deficient number, since it is larger than the sum of its proper divisors (64024179).

105430413 is a wasteful number, since it uses less digits than its factorization.

105430413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8225.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105430413 is about 10267.9312911608. The cubic root of 105430413 is about 472.4131404402.

Adding to 105430413 its reverse (314034501), we get a palindrome (419464914).

The spelling of 105430413 in words is "one hundred five million, four hundred thirty thousand, four hundred thirteen".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 561 759 1173 4301 8171 12903 24513 89881 138907 187933 269643 416721 563799 1527977 2067263 3194861 4583931 6201789 9584583 35143471 105430413