107321358672 has 480 divisors, whose sum is σ = 353201679360. Its totient is φ = 30935520000.

The previous prime is 107321358653. The next prime is 107321358673. The reversal of 107321358672 is 276853123701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107321358673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324233547 + ... + 324233877.

It is an arithmetic number, because the mean of its divisors is an integer number (735836832).

Almost surely, 2^107321358672 is an apocalyptic number.

107321358672 is a gapful number since it is divisible by the number (12) 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 107321358672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176600839680).

107321358672 is an abundant number, since it is smaller than the sum of its proper divisors (245880320688).

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

107321358672 is a wasteful number, since it uses less digits than its factorization.

107321358672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 107321358672 in words is "one hundred seven billion, three hundred twenty-one million, three hundred fifty-eight thousand, six hundred seventy-two".