10385550 has 144 divisors (see below), whose sum is σ = 33502320. Its totient is φ = 2358720.

The previous prime is 10385539. The next prime is 10385569. The reversal of 10385550 is 5558301.

10385550 is a `hidden beast` number, since 103 + 8 + 5 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 66072 + ... + 66228.

It is an arithmetic number, because the mean of its divisors is an integer number (232655).

Almost surely, 2^10385550 is an apocalyptic number.

10385550 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 10385550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16751160).

10385550 is an abundant number, since it is smaller than the sum of its proper divisors (23116770).

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

10385550 is a wasteful number, since it uses less digits than its factorization.

10385550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 10385550 is about 3222.6619431768. The cubic root of 10385550 is about 218.1774359915.

The spelling of 10385550 in words is "ten million, three hundred eighty-five thousand, five hundred fifty".