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103860 = 22325577
BaseRepresentation
bin11001010110110100
312021110200
4121112310
511310420
62120500
7611541
oct312664
9167420
10103860
1171039
1250130
1338373
1429bc8
1520b90
hex195b4

103860 has 36 divisors (see below), whose sum is σ = 315588. Its totient is φ = 27648.

The previous prime is 103843. The next prime is 103867. The reversal of 103860 is 68301.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 24336 = 282^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103867) by changing a digit.

103860 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 in 11 ways as a sum of consecutive naturals, for example, 109 + ... + 468.

2103860 is an apocalyptic number.

103860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103860 is an abundant number, since it is smaller than the sum of its proper divisors (211728).

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

103860 is a wasteful number, since it uses less digits than its factorization.

103860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103860 is about 322.2731760479. The cubic root of 103860 is about 47.0055825570.

The spelling of 103860 in words is "one hundred three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 577 1154 1731 2308 2885 3462 5193 5770 6924 8655 10386 11540 17310 20772 25965 34620 51930 103860