105083000 has 128 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 37120000.

The previous prime is 105082993. The next prime is 105083009. The reversal of 105083000 is 380501.

It is a Cunningham number, because it is equal to 10251²-1.

It is a super-2 number, since 2×105083000² = 22084873778000000, 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 105083000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105083009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450884 + ... + 451116.

Almost surely, 2^105083000 is an apocalyptic number.

105083000 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 105083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

105083000 is an abundant number, since it is smaller than the sum of its proper divisors (170887240).

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

105083000 is a wasteful number, since it uses less digits than its factorization.

105083000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

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

The square root of 105083000 is about 10250.9999512243. Note that the first 4 decimals coincide. The cubic root of 105083000 is about 471.8936727842.

The spelling of 105083000 in words is "one hundred five million, eighty-three thousand".