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103444100 = 22521795779
BaseRepresentation
bin1100010101001…
…10111010000100
321012122111121222
412022212322010
5202440202400
614133055512
72364155204
oct612467204
9235574558
10103444100
11534340a1
122a787598
131857b336
14da4a404
159135185
hex62a6e84

103444100 has 36 divisors (see below), whose sum is σ = 225766800. Its totient is φ = 41139360.

The previous prime is 103444093. The next prime is 103444123. The reversal of 103444100 is 1444301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15011 + ... + 20789.

It is an arithmetic number, because the mean of its divisors is an integer number (6271300).

Almost surely, 2103444100 is an apocalyptic number.

103444100 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 103444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112883400).

103444100 is an abundant number, since it is smaller than the sum of its proper divisors (122322700).

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

103444100 is a wasteful number, since it uses less digits than its factorization.

103444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 103444100 is about 10170.7472685147. The cubic root of 103444100 is about 469.4275511300.

Adding to 103444100 its reverse (1444301), we get a palindrome (104888401).

The spelling of 103444100 in words is "one hundred three million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1790 3580 4475 5779 8950 11558 17900 23116 28895 57790 115580 144475 288950 577900 1034441 2068882 4137764 5172205 10344410 20688820 25861025 51722050 103444100