Search a number
-
+
105122500 = 225476007
BaseRepresentation
bin1100100010000…
…00101011000100
321022210202221221
412101000223010
5203402410000
614233050124
72414345410
oct621005304
9238722857
10105122500
11543800aa
122b256944
1318a18282
14dd65d40
15936761a
hex6440ac4

105122500 has 60 divisors (see below), whose sum is σ = 262765888. Its totient is φ = 36036000.

The previous prime is 105122467. The next prime is 105122527. The reversal of 105122500 is 5221501.

It is a super-2 number, since 2×1051225002 = 22101480012500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14497 + ... + 20503.

Almost surely, 2105122500 is an apocalyptic number.

105122500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105122500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131382944).

105122500 is an abundant number, since it is smaller than the sum of its proper divisors (157643388).

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

105122500 is an equidigital number, since it uses as much as digits as its factorization.

105122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 105122500 is about 10252.9264115178. The cubic root of 105122500 is about 471.9527926070.

Subtracting from 105122500 its reverse (5221501), we obtain a palindrome (99900999).

The spelling of 105122500 in words is "one hundred five million, one hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 625 700 875 1250 1750 2500 3500 4375 6007 8750 12014 17500 24028 30035 42049 60070 84098 120140 150175 168196 210245 300350 420490 600700 750875 840980 1051225 1501750 2102450 3003500 3754375 4204900 5256125 7508750 10512250 15017500 21024500 26280625 52561250 105122500