105661556 has 72 divisors (see below), whose sum is σ = 250252800. Its totient is φ = 37984320.

The previous prime is 105661553. The next prime is 105661597. The reversal of 105661556 is 655166501.

It is a super-2 number, since 2×105661556² = 22328728832682272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105661553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42845 + ... + 45243.

Almost surely, 2^105661556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105661556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125126400).

105661556 is an abundant number, since it is smaller than the sum of its proper divisors (144591244).

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

105661556 is a wasteful number, since it uses less digits than its factorization.

105661556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 105661556 is about 10279.1807066517. The cubic root of 105661556 is about 472.7581240355.

The spelling of 105661556 in words is "one hundred five million, six hundred sixty-one thousand, five hundred fifty-six".