107253385380 has 144 divisors (see below), whose sum is σ = 342584424000. Its totient is φ = 27085605120.

The previous prime is 107253385363. The next prime is 107253385391. The reversal of 107253385380 is 83583352701.

107253385380 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 533 + 85 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14869975 + ... + 14877185.

It is an arithmetic number, because the mean of its divisors is an integer number (2379058500).

Almost surely, 2^107253385380 is an apocalyptic number.

107253385380 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 107253385380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171292212000).

107253385380 is an abundant number, since it is smaller than the sum of its proper divisors (235331038620).

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

107253385380 is a wasteful number, since it uses less digits than its factorization.

107253385380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11594 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 107253385380 in words is "one hundred seven billion, two hundred fifty-three million, three hundred eighty-five thousand, three hundred eighty".