105577648 has 40 divisors (see below), whose sum is σ = 224289216. Its totient is φ = 47745600.

The previous prime is 105577627. The next prime is 105577663. The reversal of 105577648 is 846775501.

It is a super-2 number, since 2×105577648² = 22293279514423808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35715 + ... + 38557.

Almost surely, 2^105577648 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 105577648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112144608).

105577648 is an abundant number, since it is smaller than the sum of its proper divisors (118711568).

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

105577648 is a wasteful number, since it uses less digits than its factorization.

105577648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 105577648 is about 10275.0984423508. The cubic root of 105577648 is about 472.6329486003.

The spelling of 105577648 in words is "one hundred five million, five hundred seventy-seven thousand, six hundred forty-eight".