Search a number
-
+
104105120 = 255792951
BaseRepresentation
bin1100011010010…
…00010010100000
321020220002101012
412031020102200
5203122330440
614155200052
72402610320
oct615102240
9236802335
10104105120
1153845799
122aa46028
1318750182
14db7d280
159215e65
hex63484a0

104105120 has 48 divisors (see below), whose sum is σ = 281086848. Its totient is φ = 35692800.

The previous prime is 104105119. The next prime is 104105129. The reversal of 104105120 is 21501401.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 104105095 and 104105104.

It is not an unprimeable number, because it can be changed into a prime (104105129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45356 + ... + 47595.

It is an arithmetic number, because the mean of its divisors is an integer number (5855976).

Almost surely, 2104105120 is an apocalyptic number.

104105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104105120 is an abundant number, since it is smaller than the sum of its proper divisors (176981728).

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

104105120 is an equidigital number, since it uses as much as digits as its factorization.

104105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92973 (or 92965 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 104105120 is about 10203.1916575158. The cubic root of 104105120 is about 470.4253279743.

Adding to 104105120 its reverse (21501401), we get a palindrome (125606521).

The spelling of 104105120 in words is "one hundred four million, one hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 92951 185902 371804 464755 650657 743608 929510 1301314 1487216 1859020 2602628 2974432 3253285 3718040 5205256 6506570 7436080 10410512 13013140 14872160 20821024 26026280 52052560 104105120