105085890 has 288 divisors, whose sum is σ = 360495360. Its totient is φ = 21700224.

The previous prime is 105085861. The next prime is 105085901. The reversal of 105085890 is 98580501.

105085890 is a `hidden beast` number, since 10 + 508 + 58 + 90 = 666.

It is a super-2 number, since 2×105085890² = 22086088554184200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2235847 + ... + 2235893.

It is an arithmetic number, because the mean of its divisors is an integer number (1251720).

Almost surely, 2^105085890 is an apocalyptic number.

105085890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105085890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180247680).

105085890 is an abundant number, since it is smaller than the sum of its proper divisors (255409470).

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

105085890 is a wasteful number, since it uses less digits than its factorization.

105085890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 105085890 is about 10251.1409121131. The cubic root of 105085890 is about 471.8979987621.

The spelling of 105085890 in words is "one hundred five million, eighty-five thousand, eight hundred ninety".