105103000 has 64 divisors (see below), whose sum is σ = 250117920. Its totient is φ = 41328000.

The previous prime is 105102979. The next prime is 105103007. The reversal of 105103000 is 301501.

It is a super-2 number, since 2×105103000² = 22093281218000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105103007) 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, 60139 + ... + 61861.

Almost surely, 2^105103000 is an apocalyptic number.

105103000 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 105103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125058960).

105103000 is an abundant number, since it is smaller than the sum of its proper divisors (145014920).

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

105103000 is a wasteful number, since it uses less digits than its factorization.

105103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 105103000 is about 10251.9754194009. The cubic root of 105103000 is about 471.9236087229.

Adding to 105103000 its reverse (301501), we get a palindrome (105404501).

The spelling of 105103000 in words is "one hundred five million, one hundred three thousand".