107971488000 has 576 divisors, whose sum is σ = 421971863040. Its totient is φ = 27095040000.

The previous prime is 107971487999. The next prime is 107971488061. The reversal of 107971488000 is 884179701.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14684325 + ... + 14691675.

It is an arithmetic number, because the mean of its divisors is an integer number (732590040).

Almost surely, 2^107971488000 is an apocalyptic number.

107971488000 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 107971488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210985931520).

107971488000 is an abundant number, since it is smaller than the sum of its proper divisors (314000375040).

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

107971488000 is an equidigital number, since it uses as much as digits as its factorization.

107971488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7378 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 107971488000 in words is "one hundred seven billion, nine hundred seventy-one million, four hundred eighty-eight thousand".