109932768 has 192 divisors, whose sum is σ = 359251200. Its totient is φ = 32417280.

The previous prime is 109932749. The next prime is 109932769. The reversal of 109932768 is 867239901.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109932769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408538 + ... + 408806.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^109932768 is an apocalyptic number.

109932768 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 109932768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179625600).

109932768 is an abundant number, since it is smaller than the sum of its proper divisors (249318432).

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

109932768 is a wasteful number, since it uses less digits than its factorization.

109932768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 109932768 is about 10484.8828319634. The cubic root of 109932768 is about 479.0443486178.

The spelling of 109932768 in words is "one hundred nine million, nine hundred thirty-two thousand, seven hundred sixty-eight".