Base | Representation |
---|---|
bin | 1100011000111… |
… | …11001110000100 |
3 | 21020120112121211 |
4 | 12030133032010 |
5 | 203101440100 |
6 | 14151421204 |
7 | 2401310014 |
oct | 614371604 |
9 | 236515554 |
10 | 103936900 |
11 | 53740371 |
12 | 2a984804 |
13 | 186c1732 |
14 | db37c44 |
15 | 91d11ba |
hex | 631f384 |
103936900 has 36 divisors (see below), whose sum is σ = 228735360. Its totient is φ = 40986400.
The previous prime is 103936883. The next prime is 103936913. The reversal of 103936900 is 9639301.
It is a super-2 number, since 2×1039369002 = 21605758363220000, which contains 22 as substring.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 220 + ... + 14419.
It is an arithmetic number, because the mean of its divisors is an integer number (6353760).
Almost surely, 2103936900 is an apocalyptic number.
103936900 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 103936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114367680).
103936900 is an abundant number, since it is smaller than the sum of its proper divisors (124798460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103936900 is a wasteful number, since it uses less digits than its factorization.
103936900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14724 (or 14717 counting only the distinct ones).
The product of its (nonzero) digits is 4374, while the sum is 31.
The square root of 103936900 is about 10194.9448257457. The cubic root of 103936900 is about 470.1718098290.
The spelling of 103936900 in words is "one hundred three million, nine hundred thirty-six thousand, nine hundred".
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