107222458752 has 384 divisors, whose sum is σ = 347109427200. Its totient is φ = 32543907840.

The previous prime is 107222458747. The next prime is 107222458787. The reversal of 107222458752 is 257854222701.

107222458752 is a `hidden beast` number, since 10 + 7 + 2 + 2 + 2 + 4 + 587 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×107222458752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107222458698 and 107222458707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30960573 + ... + 30964035.

It is an arithmetic number, because the mean of its divisors is an integer number (903930800).

Almost surely, 2^107222458752 is an apocalyptic number.

107222458752 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 107222458752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173554713600).

107222458752 is an abundant number, since it is smaller than the sum of its proper divisors (239886968448).

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

107222458752 is a wasteful number, since it uses less digits than its factorization.

107222458752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 107222458752 in words is "one hundred seven billion, two hundred twenty-two million, four hundred fifty-eight thousand, seven hundred fifty-two".