Search a number
-
+
105501204 = 2234595519
BaseRepresentation
bin1100100100111…
…01001000010100
321100112000110000
412102131020110
5204002014304
614245131300
72420513454
oct622351024
9240460400
10105501204
1154609686
122b3b9b30
1318b1b763
1410023d64
1593de939
hex649d214

105501204 has 60 divisors (see below), whose sum is σ = 280526400. Its totient is φ = 34564752.

The previous prime is 105501203. The next prime is 105501247. The reversal of 105501204 is 402105501.

It is a super-2 number, since 2×1055012042 = 22261008090899232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105501203) 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 19 ways as a sum of consecutive naturals, for example, 16357 + ... + 21875.

It is an arithmetic number, because the mean of its divisors is an integer number (4675440).

Almost surely, 2105501204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105501204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140263200).

105501204 is an abundant number, since it is smaller than the sum of its proper divisors (175025196).

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

105501204 is a wasteful number, since it uses less digits than its factorization.

105501204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105501204 is about 10271.3779017228. The cubic root of 105501204 is about 472.5188503440.

Adding to 105501204 its reverse (402105501), we get a palindrome (507606705).

The spelling of 105501204 in words is "one hundred five million, five hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1593 2124 3186 4779 5519 6372 9558 11038 16557 19116 22076 33114 49671 66228 99342 149013 198684 298026 325621 447039 596052 651242 894078 976863 1302484 1788156 1953726 2930589 3907452 5861178 8791767 11722356 17583534 26375301 35167068 52750602 105501204