107493124000 has 96 divisors (see below), whose sum is σ = 264727636992. Its totient is φ = 42896800000.

The previous prime is 107493123973. The next prime is 107493124007. The reversal of 107493124000 is 421394701.

It is not an unprimeable number, because it can be changed into a prime (107493124007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1692825 + ... + 1755175.

It is an arithmetic number, because the mean of its divisors is an integer number (2757579552).

Almost surely, 2^107493124000 is an apocalyptic number.

107493124000 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 107493124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132363818496).

107493124000 is an abundant number, since it is smaller than the sum of its proper divisors (157234512992).

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

107493124000 is an equidigital number, since it uses as much as digits as its factorization.

107493124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62807 (or 62789 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 107493124000 in words is "one hundred seven billion, four hundred ninety-three million, one hundred twenty-four thousand".