105644220 has 96 divisors (see below), whose sum is σ = 328285440. Its totient is φ = 25167360.

The previous prime is 105644197. The next prime is 105644261. The reversal of 105644220 is 22446501.

It is a super-2 number, since 2×105644220² = 22321402438816800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37584 + ... + 40296.

It is an arithmetic number, because the mean of its divisors is an integer number (3419640).

Almost surely, 2^105644220 is an apocalyptic number.

105644220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105644220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164142720).

105644220 is an abundant number, since it is smaller than the sum of its proper divisors (222641220).

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

105644220 is a wasteful number, since it uses less digits than its factorization.

105644220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105644220 is about 10278.3374141930. The cubic root of 105644220 is about 472.7322673177.

The spelling of 105644220 in words is "one hundred five million, six hundred forty-four thousand, two hundred twenty".