107530752000 has 832 divisors, whose sum is σ = 417563288064. Its totient is φ = 24064819200.

The previous prime is 107530751983. The next prime is 107530752023. The reversal of 107530752000 is 257035701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784895932 + ... + 784896068.

It is an arithmetic number, because the mean of its divisors is an integer number (501878952).

Almost surely, 2^107530752000 is an apocalyptic number.

107530752000 is a gapful number since it is divisible by the number (10) 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 107530752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208781644032).

107530752000 is an abundant number, since it is smaller than the sum of its proper divisors (310032536064).

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

107530752000 is an equidigital number, since it uses as much as digits as its factorization.

107530752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

Adding to 107530752000 its reverse (257035701), we get a palindrome (107787787701).

The spelling of 107530752000 in words is "one hundred seven billion, five hundred thirty million, seven hundred fifty-two thousand".