105661444 has 18 divisors (see below), whose sum is σ = 215096910. Its totient is φ = 45283392.

The previous prime is 105661433. The next prime is 105661447. The reversal of 105661444 is 444166501.

It can be written as a sum of positive squares in only one way, i.e., 58216900 + 47444544 = 7630^2 + 6888^2 .

It is a super-2 number, since 2×105661444² = 22328681496330272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105661447) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 269349 + ... + 269740.

Almost surely, 2^105661444 is an apocalyptic number.

105661444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105661444 is an abundant number, since it is smaller than the sum of its proper divisors (109435466).

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

105661444 is a wasteful number, since it uses less digits than its factorization.

105661444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539107 (or 539098 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 105661444 is about 10279.1752587452. The cubic root of 105661444 is about 472.7579569961.

It can be divided in two parts, 1056 and 61444, that added together give a square (62500 = 250²).

The spelling of 105661444 in words is "one hundred five million, six hundred sixty-one thousand, four hundred forty-four".