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101104300 = 225211107859
BaseRepresentation
bin1100000011010…
…11101010101100
321001020122000201
412001223222230
5201340314200
614011003244
72335241503
oct601535254
9231218021
10101104300
1152086180
1229a39524
1317c3c33b
14d5db83a
158d21c6a
hex606baac

101104300 has 72 divisors (see below), whose sum is σ = 241859520. Its totient is φ = 36379200.

The previous prime is 101104271. The next prime is 101104303. The reversal of 101104300 is 3401101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101104303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 117271 + ... + 118129.

It is an arithmetic number, because the mean of its divisors is an integer number (3359160).

Almost surely, 2101104300 is an apocalyptic number.

101104300 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 101104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120929760).

101104300 is an abundant number, since it is smaller than the sum of its proper divisors (140755220).

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

101104300 is a wasteful number, since it uses less digits than its factorization.

101104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101104300 is about 10055.0634010930. The cubic root of 101104300 is about 465.8612012717.

Adding to 101104300 its reverse (3401101), we get a palindrome (104505401).

It can be divided in two parts, 101 and 104300, that added together give a palindrome (104401).

The spelling of 101104300 in words is "one hundred one million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 859 1070 1100 1177 1718 2140 2354 2675 3436 4295 4708 5350 5885 8590 9449 10700 11770 17180 18898 21475 23540 29425 37796 42950 47245 58850 85900 91913 94490 117700 183826 188980 236225 367652 459565 472450 919130 944900 1011043 1838260 2022086 2297825 4044172 4595650 5055215 9191300 10110430 20220860 25276075 50552150 101104300