105466644 has 96 divisors (see below), whose sum is σ = 291200000. Its totient is φ = 32915808.

The previous prime is 105466633. The next prime is 105466651. The reversal of 105466644 is 446664501.

It is a super-2 number, since 2×105466644² = 22246425993245472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105466599 and 105466608.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 211107 + ... + 211605.

Almost surely, 2^105466644 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 105466644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145600000).

105466644 is an abundant number, since it is smaller than the sum of its proper divisors (185733356).

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

105466644 is a wasteful number, since it uses less digits than its factorization.

105466644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 105466644 is about 10269.6954190472. The cubic root of 105466644 is about 472.4672489267.

The spelling of 105466644 in words is "one hundred five million, four hundred sixty-six thousand, six hundred forty-four".