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104110400 = 2652312099
BaseRepresentation
bin1100011010010…
…01100101000000
321020220100121202
412031021211000
5203123013100
614155240332
72402631602
oct615114500
9236810552
10104110400
1153849759
122aa490a8
13187526b4
14db81172
1592177d5
hex6349940

104110400 has 84 divisors (see below), whose sum is σ = 264566400. Its totient is φ = 40281600.

The previous prime is 104110399. The next prime is 104110411. The reversal of 104110400 is 4011401.

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, 48551 + ... + 50649.

It is an arithmetic number, because the mean of its divisors is an integer number (3149600).

Almost surely, 2104110400 is an apocalyptic number.

104110400 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 104110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132283200).

104110400 is an abundant number, since it is smaller than the sum of its proper divisors (160456000).

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

104110400 is a wasteful number, since it uses less digits than its factorization.

104110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 104110400 is about 10203.4503968021. The cubic root of 104110400 is about 470.4332808452.

Adding to 104110400 its reverse (4011401), we get a palindrome (108121801).

The spelling of 104110400 in words is "one hundred four million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 155 160 200 248 310 320 400 496 620 775 800 992 1240 1550 1600 1984 2099 2480 3100 4198 4960 6200 8396 9920 10495 12400 16792 20990 24800 33584 41980 49600 52475 65069 67168 83960 104950 130138 134336 167920 209900 260276 325345 335840 419800 520552 650690 671680 839600 1041104 1301380 1626725 1679200 2082208 2602760 3253450 3358400 4164416 5205520 6506900 10411040 13013800 20822080 26027600 52055200 104110400