107222021280 has 288 divisors, whose sum is σ = 412036305408. Its totient is φ = 25154611200.

The previous prime is 107222021251. The next prime is 107222021281. The reversal of 107222021280 is 82120222701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×107222021280² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107222021281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381862 + ... + 600218.

It is an arithmetic number, because the mean of its divisors is an integer number (1430681616).

Almost surely, 2^107222021280 is an apocalyptic number.

107222021280 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 107222021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206018152704).

107222021280 is an abundant number, since it is smaller than the sum of its proper divisors (304814284128).

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

107222021280 is a wasteful number, since it uses less digits than its factorization.

107222021280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218420 (or 218409 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 107222021280 its reverse (82120222701), we get a palindrome (189342243981).

The spelling of 107222021280 in words is "one hundred seven billion, two hundred twenty-two million, twenty-one thousand, two hundred eighty".