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104104400 = 24522331117
BaseRepresentation
bin1100011010010…
…00000111010000
321020220001101112
412031020013100
5203122320100
614155152452
72402605241
oct615100720
9236801345
10104104400
11538451a4
122aa45728
131874ca4a
14db7ccc8
159215b35
hex63481d0

104104400 has 60 divisors (see below), whose sum is σ = 251409132. Its totient is φ = 41425920.

The previous prime is 104104397. The next prime is 104104411. The reversal of 104104400 is 4401401.

It can be written as a sum of positive squares in 6 ways, for example, as 31990336 + 72114064 = 5656^2 + 8492^2 .

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, 92642 + ... + 93758.

Almost surely, 2104104400 is an apocalyptic number.

104104400 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 104104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125704566).

104104400 is an abundant number, since it is smaller than the sum of its proper divisors (147304732).

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

104104400 is a wasteful number, since it uses less digits than its factorization.

104104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1357 counting only the distinct ones).

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

The square root of 104104400 is about 10203.1563743775. The cubic root of 104104400 is about 470.4242434711.

Adding to 104104400 its reverse (4401401), we get a palindrome (108505801).

The spelling of 104104400 in words is "one hundred four million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 233 400 466 932 1117 1165 1864 2234 2330 3728 4468 4660 5585 5825 8936 9320 11170 11650 17872 18640 22340 23300 27925 44680 46600 55850 89360 93200 111700 223400 260261 446800 520522 1041044 1301305 2082088 2602610 4164176 5205220 6506525 10410440 13013050 20820880 26026100 52052200 104104400