107213018880 has 576 divisors, whose sum is σ = 395191996416. Its totient is φ = 24526848000.

The previous prime is 107213018833. The next prime is 107213018893. The reversal of 107213018880 is 88810312701.

It is a super-2 number, since 2×107213018880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 53686042 + ... + 53688038.

It is an arithmetic number, because the mean of its divisors is an integer number (686097216).

Almost surely, 2^107213018880 is an apocalyptic number.

107213018880 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 107213018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197595998208).

107213018880 is an abundant number, since it is smaller than the sum of its proper divisors (287978977536).

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

107213018880 is a wasteful number, since it uses less digits than its factorization.

107213018880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 107213018880 in words is "one hundred seven billion, two hundred thirteen million, eighteen thousand, eight hundred eighty".