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104242100 = 225210110321
BaseRepresentation
bin1100011011010…
…01101110110100
321021011001021112
412031221232310
5203141221400
614202134152
72404020554
oct615515664
9237131245
10104242100
11539296a6
122aab1358
131879a621
14dbb7164
159241835
hex6369bb4

104242100 has 36 divisors (see below), whose sum is σ = 228467148. Its totient is φ = 41280000.

The previous prime is 104242097. The next prime is 104242111. The reversal of 104242100 is 1242401.

It can be written as a sum of positive squares in 6 ways, for example, as 3400336 + 100841764 = 1844^2 + 10042^2 .

It is a congruent number.

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, 4940 + ... + 15260.

Almost surely, 2104242100 is an apocalyptic number.

104242100 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 104242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114233574).

104242100 is an abundant number, since it is smaller than the sum of its proper divisors (124225048).

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

104242100 is a wasteful number, since it uses less digits than its factorization.

104242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10436 (or 10429 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 104242100 is about 10209.9020563373. The cubic root of 104242100 is about 470.6315638107.

Adding to 104242100 its reverse (1242401), we get a palindrome (105484501).

The spelling of 104242100 in words is "one hundred four million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 10321 20642 41284 51605 103210 206420 258025 516050 1032100 1042421 2084842 4169684 5212105 10424210 20848420 26060525 52121050 104242100