105285050 has 24 divisors (see below), whose sum is σ = 210895356. Its totient is φ = 38874240.

The previous prime is 105285041. The next prime is 105285067. The reversal of 105285050 is 50582501.

It can be written as a sum of positive squares in 6 ways, for example, as 19333609 + 85951441 = 4397^2 + 9271^2 .

It is a super-2 number, since 2×105285050² = 22169883507005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 11 ways as a sum of consecutive naturals, for example, 80339 + ... + 81638.

Almost surely, 2^105285050 is an apocalyptic number.

105285050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105285050 is an abundant number, since it is smaller than the sum of its proper divisors (105610306).

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

105285050 is a wasteful number, since it uses less digits than its factorization.

105285050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162002 (or 161997 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 105285050 is about 10260.8503546246. The cubic root of 105285050 is about 472.1959261533.

The spelling of 105285050 in words is "one hundred five million, two hundred eighty-five thousand, fifty".