Search a number
-
+
105122184 = 2334380091
BaseRepresentation
bin1100100010000…
…00100110001000
321022210202112020
412101000212020
5203402402214
614233044440
72414344446
oct621004610
9238722466
10105122184
115437a942
122b256720
1318a1809b
14dd65b96
1593674a9
hex6440988

105122184 has 16 divisors (see below), whose sum is σ = 262805520. Its totient is φ = 35040720.

The previous prime is 105122179. The next prime is 105122189. The reversal of 105122184 is 481221501.

It is an interprime number because it is at equal distance from previous prime (105122179) and next prime (105122189).

It is a super-2 number, since 2×1051221842 = 22101347137859712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4380091 = 105122184 / (1 + 0 + 5 + 1 + 2 + 2 + 1 + 8 + 4).

It is not an unprimeable number, because it can be changed into a prime (105122189) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2190022 + ... + 2190069.

It is an arithmetic number, because the mean of its divisors is an integer number (16425345).

Almost surely, 2105122184 is an apocalyptic number.

It is an amenable number.

105122184 is an abundant number, since it is smaller than the sum of its proper divisors (157683336).

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

105122184 is a wasteful number, since it uses less digits than its factorization.

105122184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380100 (or 4380096 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 105122184 is about 10252.9110012718. The cubic root of 105122184 is about 471.9523197072.

Adding to 105122184 its reverse (481221501), we get a palindrome (586343685).

The spelling of 105122184 in words is "one hundred five million, one hundred twenty-two thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 4380091 8760182 13140273 17520364 26280546 35040728 52561092 105122184