105063000 has 128 divisors (see below), whose sum is σ = 374699520. Its totient is φ = 24009600.

The previous prime is 105062963. The next prime is 105063047. The reversal of 105063000 is 360501.

It is a super-2 number, since 2×105063000² = 22076467938000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18499 + ... + 23501.

It is an arithmetic number, because the mean of its divisors is an integer number (2927340).

Almost surely, 2^105063000 is an apocalyptic number.

105063000 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 105063000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187349760).

105063000 is an abundant number, since it is smaller than the sum of its proper divisors (269636520).

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

105063000 is a wasteful number, since it uses less digits than its factorization.

105063000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105063000 is about 10250.0243902149. The cubic root of 105063000 is about 471.8637330468.

The spelling of 105063000 in words is "one hundred five million, sixty-three thousand".