109611648 has 192 divisors, whose sum is σ = 347279400. Its totient is φ = 33030144.

The previous prime is 109611613. The next prime is 109611659. The reversal of 109611648 is 846116901.

It is a happy number.

109611648 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 1 + 1 + 648 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95413824 + 14197824 = 9768^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567840 + ... + 568032.

Almost surely, 2^109611648 is an apocalyptic number.

109611648 is a gapful number since it is divisible by the number (18) 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 109611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173639700).

109611648 is an abundant number, since it is smaller than the sum of its proper divisors (237667752).

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

109611648 is a wasteful number, since it uses less digits than its factorization.

109611648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 109611648 is about 10469.5581568660. The cubic root of 109611648 is about 478.5774549263.

The spelling of 109611648 in words is "one hundred nine million, six hundred eleven thousand, six hundred forty-eight".