Search a number
-
+
105361614 = 23317114773
BaseRepresentation
bin1100100011110…
…11000011001110
321100020220222000
412101323003032
5203433032424
614242133130
72416362501
oct621730316
9240226860
10105361614
1154523816
122b3511a6
1318aa0067
14ddc9138
1593b33c9
hex647b0ce

105361614 has 32 divisors (see below), whose sum is σ = 247911840. Its totient is φ = 33054336.

The previous prime is 105361577. The next prime is 105361637. The reversal of 105361614 is 416163501.

105361614 is a `hidden beast` number, since 10 + 5 + 36 + 1 + 614 = 666.

It is a super-2 number, since 2×1053616142 = 22202139409369992, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56469 + ... + 58304.

It is an arithmetic number, because the mean of its divisors is an integer number (7747245).

Almost surely, 2105361614 is an apocalyptic number.

105361614 is an abundant number, since it is smaller than the sum of its proper divisors (142550226).

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

105361614 is a wasteful number, since it uses less digits than its factorization.

105361614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114801 (or 114795 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105361614 is about 10264.5805564572. The cubic root of 105361614 is about 472.3103597752.

The spelling of 105361614 in words is "one hundred five million, three hundred sixty-one thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 114773 229546 344319 688638 1032957 1951141 2065914 3098871 3902282 5853423 6197742 11706846 17560269 35120538 52680807 105361614