105601626 has 48 divisors (see below), whose sum is σ = 253084104. Its totient is φ = 31612032.

The previous prime is 105601607. The next prime is 105601627. The reversal of 105601626 is 626106501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99022401 + 6579225 = 9951^2 + 2565^2 .

It is a super-2 number, since 2×105601626² = 22303406827687752, which contains 22 as substring.

105601626 is a modest number, since divided by 1626 gives 1056 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 105601626.

It is not an unprimeable number, because it can be changed into a prime (105601627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2560 + ... + 14756.

Almost surely, 2^105601626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105601626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126542052).

105601626 is an abundant number, since it is smaller than the sum of its proper divisors (147482478).

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

105601626 is a wasteful number, since it uses less digits than its factorization.

105601626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12255 (or 12252 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105601626 is about 10276.2651775828. The cubic root of 105601626 is about 472.6687261701.

The spelling of 105601626 in words is "one hundred five million, six hundred one thousand, six hundred twenty-six".