Search a number
-
+
105621373 = 11134389193
BaseRepresentation
bin1100100101110…
…10011101111101
321100202010021201
412102322131331
5204014340443
614251455501
72421524014
oct622723575
9240663251
10105621373
11546909a0
122b457591
1318b61370
1410055a7b
15941534d
hex64ba77d

105621373 has 32 divisors (see below), whose sum is σ = 129064320. Its totient is φ = 85155840.

The previous prime is 105621349. The next prime is 105621379. The reversal of 105621373 is 373126501.

It is not a de Polignac number, because 105621373 - 29 = 105620861 is a prime.

It is a super-2 number, since 2×1056213732 = 22311748868810258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105621379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547165 + ... + 547357.

It is an arithmetic number, because the mean of its divisors is an integer number (4033260).

Almost surely, 2105621373 is an apocalyptic number.

105621373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105621373 is a deficient number, since it is larger than the sum of its proper divisors (23442947).

105621373 is a wasteful number, since it uses less digits than its factorization.

105621373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 105621373 is about 10277.2259389390. The cubic root of 105621373 is about 472.6981865991.

Adding to 105621373 its reverse (373126501), we get a palindrome (478747874).

It can be divided in two parts, 10562 and 1373, that added together give a triangular number (11935 = T154).

The spelling of 105621373 in words is "one hundred five million, six hundred twenty-one thousand, three hundred seventy-three".

Divisors: 1 11 13 43 89 143 193 473 559 979 1157 2123 2509 3827 6149 8299 12727 17177 27599 42097 49751 91289 107887 188947 223301 547261 738611 1186757 2456311 8124721 9601943 105621373