107284748088 has 256 divisors, whose sum is σ = 321564672000. Its totient is φ = 29181648384.

The previous prime is 107284748071. The next prime is 107284748089. The reversal of 107284748088 is 880847482701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107284748089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220296981 + ... + 220297467.

It is an arithmetic number, because the mean of its divisors is an integer number (1256112000).

Almost surely, 2^107284748088 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 107284748088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160782336000).

107284748088 is an abundant number, since it is smaller than the sum of its proper divisors (214279923912).

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

107284748088 is a wasteful number, since it uses less digits than its factorization.

107284748088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 57.

The spelling of 107284748088 in words is "one hundred seven billion, two hundred eighty-four million, seven hundred forty-eight thousand, eighty-eight".