105604650 has 72 divisors (see below), whose sum is σ = 286460460. Its totient is φ = 27889920.

The previous prime is 105604649. The next prime is 105604711. The reversal of 105604650 is 56406501.

It is a happy number.

105604650 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 0 + 4 + 650 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23357889 + 82246761 = 4833^2 + 9069^2 .

It is a super-2 number, since 2×105604650² = 22304684203245000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 47974 + ... + 50126.

Almost surely, 2^105604650 is an apocalyptic number.

105604650 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 105604650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143230230).

105604650 is an abundant number, since it is smaller than the sum of its proper divisors (180855810).

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

105604650 is a wasteful number, since it uses less digits than its factorization.

105604650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105604650 is about 10276.4123116971. The cubic root of 105604650 is about 472.6732378954.

The spelling of 105604650 in words is "one hundred five million, six hundred four thousand, six hundred fifty".