105288648 has 64 divisors (see below), whose sum is σ = 277585920. Its totient is φ = 33230400.

The previous prime is 105288619. The next prime is 105288653. The reversal of 105288648 is 846882501.

It is a super-2 number, since 2×105288648² = 22171398795335808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33463 + ... + 36473.

It is an arithmetic number, because the mean of its divisors is an integer number (4337280).

Almost surely, 2^105288648 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 105288648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138792960).

105288648 is an abundant number, since it is smaller than the sum of its proper divisors (172297272).

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

105288648 is a wasteful number, since it uses less digits than its factorization.

105288648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 105288648 is about 10261.0256797262. The cubic root of 105288648 is about 472.2013050163.

The spelling of 105288648 in words is "one hundred five million, two hundred eighty-eight thousand, six hundred forty-eight".