109959648 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 34997760.

The previous prime is 109959613. The next prime is 109959653. The reversal of 109959648 is 846959901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×109959648² = 24182248376567808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109959648.

It is a congruent number.

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, 353413 + ... + 353723.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^109959648 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 109959648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

109959648 is an abundant number, since it is smaller than the sum of its proper divisors (191956512).

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

109959648 is a wasteful number, since it uses less digits than its factorization.

109959648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 109959648 is about 10486.1645991277. The cubic root of 109959648 is about 479.0833896394.

The spelling of 109959648 in words is "one hundred nine million, nine hundred fifty-nine thousand, six hundred forty-eight".