107952288 has 48 divisors (see below), whose sum is σ = 285314400. Its totient is φ = 35737856.

The previous prime is 107952263. The next prime is 107952289. The reversal of 107952288 is 882259701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (107952289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10531 + ... + 18077.

It is an arithmetic number, because the mean of its divisors is an integer number (5944050).

Almost surely, 2^107952288 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 107952288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142657200).

107952288 is an abundant number, since it is smaller than the sum of its proper divisors (177362112).

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

107952288 is a wasteful number, since it uses less digits than its factorization.

107952288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 107952288 is about 10390.0090471568. The cubic root of 107952288 is about 476.1501774100.

The spelling of 107952288 in words is "one hundred seven million, nine hundred fifty-two thousand, two hundred eighty-eight".