107158898880 has 1344 divisors, whose sum is σ = 457244476416. Its totient is φ = 22708224000.

The previous prime is 107158898867. The next prime is 107158898953. The reversal of 107158898880 is 88898851701.

It is a super-2 number, since 2×107158898880² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 507861975 + ... + 507862185.

It is an arithmetic number, because the mean of its divisors is an integer number (340211664).

Almost surely, 2^107158898880 is an apocalyptic number.

107158898880 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 107158898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228622238208).

107158898880 is an abundant number, since it is smaller than the sum of its proper divisors (350085577536).

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

107158898880 is a wasteful number, since it uses less digits than its factorization.

107158898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 63.

The spelling of 107158898880 in words is "one hundred seven billion, one hundred fifty-eight million, eight hundred ninety-eight thousand, eight hundred eighty".