105903000 has 288 divisors, whose sum is σ = 419309280. Its totient is φ = 23616000.

The previous prime is 105902989. The next prime is 105903001. The reversal of 105903000 is 309501.

It is a super-2 number, since 2×105903000² = 22430890818000000, which contains 22 as substring.

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 (105903001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2582980 + ... + 2583020.

It is an arithmetic number, because the mean of its divisors is an integer number (1455935).

Almost surely, 2^105903000 is an apocalyptic number.

105903000 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 105903000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209654640).

105903000 is an abundant number, since it is smaller than the sum of its proper divisors (313406280).

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

105903000 is a wasteful number, since it uses less digits than its factorization.

105903000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 105903000 is about 10290.9183263691. The cubic root of 105903000 is about 473.1179451607.

The spelling of 105903000 in words is "one hundred five million, nine hundred three thousand".