105606150 has 96 divisors (see below), whose sum is σ = 291314688. Its totient is φ = 25142400.

The previous prime is 105606121. The next prime is 105606169. The reversal of 105606150 is 51606501.

It is a super-3 number, since 3×105606150³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105606150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59577 + ... + 61323.

It is an arithmetic number, because the mean of its divisors is an integer number (3034528).

Almost surely, 2^105606150 is an apocalyptic number.

105606150 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 105606150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145657344).

105606150 is an abundant number, since it is smaller than the sum of its proper divisors (185708538).

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

105606150 is a wasteful number, since it uses less digits than its factorization.

105606150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105606150 is about 10276.4852941071. The cubic root of 105606150 is about 472.6754758225.

The spelling of 105606150 in words is "one hundred five million, six hundred six thousand, one hundred fifty".