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103808 = 27811
BaseRepresentation
bin11001010110000000
312021101202
4121112000
511310213
62120332
7611435
oct312600
9167352
10103808
1170aa1
12500a8
1338333
1429b8c
1520b58
hex19580

103808 has 16 divisors (see below), whose sum is σ = 207060. Its totient is φ = 51840.

The previous prime is 103801. The next prime is 103811. The reversal of 103808 is 808301.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1038082 = 21552201728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103801) by changing a digit.

103808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278 + ... + 533.

2103808 is an apocalyptic number.

It is an amenable number.

103808 is a deficient number, since it is larger than the sum of its proper divisors (103252).

103808 is an frugal number, since it uses more digits than its factorization.

103808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 103808 is about 322.1924890496. The cubic root of 103808 is about 46.9977364234.

The spelling of 103808 in words is "one hundred three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 128 811 1622 3244 6488 12976 25952 51904 103808