105606050 has 48 divisors (see below), whose sum is σ = 215825472. Its totient is φ = 38126400.

The previous prime is 105606013. The next prime is 105606077. The reversal of 105606050 is 50606501.

It is a super-3 number, since 3×105606050³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85739 + ... + 86961.

It is an arithmetic number, because the mean of its divisors is an integer number (4496364).

Almost surely, 2^105606050 is an apocalyptic number.

105606050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105606050 is an abundant number, since it is smaller than the sum of its proper divisors (110219422).

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

105606050 is a wasteful number, since it uses less digits than its factorization.

105606050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105606050 is about 10276.4804286292. The cubic root of 105606050 is about 472.6753266280.

The spelling of 105606050 in words is "one hundred five million, six hundred six thousand, fifty".