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104301120 = 26357111783
BaseRepresentation
bin1100011011110…
…00001001000000
321021021001020110
412031320021000
5203200113440
614203311320
72404354620
oct615701100
9237231213
10104301120
1153969a80
122ab1b540
13187bb451
14dbd0880
159254080
hex6378240

104301120 has 448 divisors, whose sum is σ = 442423296. Its totient is φ = 20152320.

The previous prime is 104301107. The next prime is 104301157. The reversal of 104301120 is 21103401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 104301096 and 104301105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1256599 + ... + 1256681.

It is an arithmetic number, because the mean of its divisors is an integer number (987552).

Almost surely, 2104301120 is an apocalyptic number.

104301120 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 104301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648).

104301120 is an abundant number, since it is smaller than the sum of its proper divisors (338122176).

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

104301120 is a wasteful number, since it uses less digits than its factorization.

104301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 104301120 is about 10212.7919786903. The cubic root of 104301120 is about 470.7203680921.

Adding to 104301120 its reverse (21103401), we get a palindrome (125404521).

The spelling of 104301120 in words is "one hundred four million, three hundred one thousand, one hundred twenty".