Search a number
-
+
105341364 = 2233975383
BaseRepresentation
bin1100100011101…
…10000110110100
321100012220012000
412101312012310
5203431410424
614241455300
72416246452
oct621660664
9240186160
10105341364
115450a587
122b341530
1318a93a8b
14ddc19d2
1593ac3c9
hex64761b4

105341364 has 24 divisors (see below), whose sum is σ = 273107520. Its totient is φ = 35113752.

The previous prime is 105341363. The next prime is 105341371. The reversal of 105341364 is 463143501.

It is a super-2 number, since 2×1053413642 = 22193605938760992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341363) 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 7 ways as a sum of consecutive naturals, for example, 487584 + ... + 487799.

It is an arithmetic number, because the mean of its divisors is an integer number (11379480).

Almost surely, 2105341364 is an apocalyptic number.

It is an amenable number.

105341364 is an abundant number, since it is smaller than the sum of its proper divisors (167766156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105341364 is a wasteful number, since it uses less digits than its factorization.

105341364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975396 (or 975388 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105341364 is about 10263.5941073291. The cubic root of 105341364 is about 472.2800992365.

Adding to 105341364 its reverse (463143501), we get a palindrome (568484865).

The spelling of 105341364 in words is "one hundred five million, three hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 975383 1950766 2926149 3901532 5852298 8778447 11704596 17556894 26335341 35113788 52670682 105341364