105803000 has 64 divisors (see below), whose sum is σ = 255640320. Its totient is φ = 40944000.

The previous prime is 105802981. The next prime is 105803011. The reversal of 105803000 is 308501.

It is a super-2 number, since 2×105803000² = 22388549618000000, 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 105803000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29294 + ... + 32706.

It is an arithmetic number, because the mean of its divisors is an integer number (3994380).

Almost surely, 2^105803000 is an apocalyptic number.

105803000 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 105803000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127820160).

105803000 is an abundant number, since it is smaller than the sum of its proper divisors (149837320).

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

105803000 is a wasteful number, since it uses less digits than its factorization.

105803000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105803000 is about 10286.0585259855. The cubic root of 105803000 is about 472.9689827646.

The spelling of 105803000 in words is "one hundred five million, eight hundred three thousand".