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104101200 = 243752717
BaseRepresentation
bin1100011010001…
…11010101010000
321020212220000000
412031013111100
5203122214300
614155130000
72402563020
oct615072520
9236786000
10104101200
1153842855
122aa43900
131874b458
14db7ba80
159214c00
hex6347550

104101200 has 480 divisors, whose sum is σ = 453899520. Its totient is φ = 22394880.

The previous prime is 104101187. The next prime is 104101201. The reversal of 104101200 is 2101401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104101201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6123592 + ... + 6123608.

It is an arithmetic number, because the mean of its divisors is an integer number (945624).

Almost surely, 2104101200 is an apocalyptic number.

104101200 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 104101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226949760).

104101200 is an abundant number, since it is smaller than the sum of its proper divisors (349798320).

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

104101200 is an equidigital number, since it uses as much as digits as its factorization.

104101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 104101200 is about 10202.9995589532. Note that the first 3 decimals coincide. The cubic root of 104101200 is about 470.4194233962.

Adding to 104101200 its reverse (2101401), we get a palindrome (106202601).

The spelling of 104101200 in words is "one hundred four million, one hundred one thousand, two hundred".