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105118220 = 2255255911
BaseRepresentation
bin1100100001111…
…11101000001100
321022210120002102
412100333220030
5203402240340
614233014232
72414330054
oct620775014
9238716072
10105118220
1154377969
122b254378
1318a1633c
14dd64564
159366215
hex643fa0c

105118220 has 12 divisors (see below), whose sum is σ = 220748304. Its totient is φ = 42047280.

The previous prime is 105118213. The next prime is 105118249. The reversal of 105118220 is 22811501.

It is a happy number.

It is a super-2 number, since 2×1051182202 = 22099680351936800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5255911 = 105118220 / (1 + 0 + 5 + 1 + 1 + 8 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 105118192 and 105118201.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2627936 + ... + 2627975.

It is an arithmetic number, because the mean of its divisors is an integer number (18395692).

Almost surely, 2105118220 is an apocalyptic number.

105118220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105118220 is an abundant number, since it is smaller than the sum of its proper divisors (115630084).

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

105118220 is a wasteful number, since it uses less digits than its factorization.

105118220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255920 (or 5255918 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 105118220 is about 10252.7176884961. The cubic root of 105118220 is about 471.9463874278.

Adding to 105118220 its reverse (22811501), we get a palindrome (127929721).

The spelling of 105118220 in words is "one hundred five million, one hundred eighteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5255911 10511822 21023644 26279555 52559110 105118220