107308800000 has 1008 divisors, whose sum is σ = 419582676240. Its totient is φ = 27371520000.

The previous prime is 107308799993. The next prime is 107308800019. The reversal of 107308800000 is 8803701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4665599989 + ... + 4665600011.

It is an arithmetic number, because the mean of its divisors is an integer number (416252655).

Almost surely, 2^107308800000 is an apocalyptic number.

107308800000 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 107308800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209791338120).

107308800000 is an abundant number, since it is smaller than the sum of its proper divisors (312273876240).

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

107308800000 is an frugal number, since it uses more digits than its factorization.

107308800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 107308800000 in words is "one hundred seven billion, three hundred eight million, eight hundred thousand".