105000630 has 48 divisors (see below), whose sum is σ = 293148720. Its totient is φ = 23999808.

The previous prime is 105000629. The next prime is 105000659. The reversal of 105000630 is 36000501.

It is a super-2 number, since 2×105000630² = 22050264600793800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34245 + ... + 37184.

It is an arithmetic number, because the mean of its divisors is an integer number (6107265).

Almost surely, 2^105000630 is an apocalyptic number.

105000630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105000630 is an abundant number, since it is smaller than the sum of its proper divisors (188148090).

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

105000630 is a wasteful number, since it uses less digits than its factorization.

105000630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71453 (or 71446 counting only the distinct ones).

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

The square root of 105000630 is about 10246.9815067658. The cubic root of 105000630 is about 471.7703415686.

The spelling of 105000630 in words is "one hundred five million, six hundred thirty", and thus it is an aban number.