| Base | Representation |
|---|---|
| bin | 1100001010111… |
| … | …11111001000000 |
| 3 | 21010010110020100 |
| 4 | 12011133321000 |
| 5 | 202114322030 |
| 6 | 14044242400 |
| 7 | 2346606111 |
| oct | 605377100 |
| 9 | 233113210 |
| 10 | 102104640 |
| 11 | 526a9800 |
| 12 | 2a240400 |
| 13 | 181cc761 |
| 14 | d7bc208 |
| 15 | 8e6d360 |
| hex | 615fe40 |
102104640 has 252 divisors, whose sum is σ = 387344412. Its totient is φ = 24668160.
The previous prime is 102104617. The next prime is 102104641. The reversal of 102104640 is 46401201.
102104640 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 4 + 640 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 30735936 = 8448^2 + 5544^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (102104641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348334 + ... + 348626.
It is an arithmetic number, because the mean of its divisors is an integer number (1537081).
Almost surely, 2102104640 is an apocalyptic number.
102104640 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 102104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193672206).
102104640 is an abundant number, since it is smaller than the sum of its proper divisors (285239772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102104640 is a wasteful number, since it uses less digits than its factorization.
102104640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 338 (or 314 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 102104640 is about 10104.6840623544. The cubic root of 102104640 is about 467.3925935494.
Adding to 102104640 its reverse (46401201), we get a palindrome (148505841).
The spelling of 102104640 in words is "one hundred two million, one hundred four thousand, six hundred forty".
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