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103818 = 2311313
BaseRepresentation
bin11001010110001010
312021102010
4121112022
511310233
62120350
7611451
oct312612
9167363
10103818
1171000
12500b6
1338340
1429b98
1520b63
hex1958a

103818 has 32 divisors (see below), whose sum is σ = 245952. Its totient is φ = 29040.

The previous prime is 103813. The next prime is 103837. The reversal of 103818 is 818301.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 103794 and 103803.

It is not an unprimeable number, because it can be changed into a prime (103811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7980 + ... + 7992.

It is an arithmetic number, because the mean of its divisors is an integer number (7686).

2103818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976).

103818 is an abundant number, since it is smaller than the sum of its proper divisors (142134).

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

103818 is a wasteful number, since it uses less digits than its factorization.

103818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 103818 is about 322.2080073493. The cubic root of 103818 is about 46.9992454987. Note that the first 3 decimals are identical.

It can be divided in two parts, 10 and 3818, that added together give a triangular number (3828 = T87).

The spelling of 103818 in words is "one hundred three thousand, eight hundred eighteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1331 1573 2662 3146 3993 4719 7986 9438 17303 34606 51909 103818