107282484346752 has 640 divisors, whose sum is σ = 376992556063200. Its totient is φ = 29856674856960.

The previous prime is 107282484346747. The next prime is 107282484346777. The reversal of 107282484346752 is 257643484282701.

107282484346752 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 82 + 4 + 8 + 43 + 467 + 52 = 666.

It is a super-2 number, since 2×107282484346752² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107282484346752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 291893274 + ... + 292260582.

Almost surely, 2^{107282484346752} is an apocalyptic number.

107282484346752 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 107282484346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188496278031600).

107282484346752 is an abundant number, since it is smaller than the sum of its proper divisors (269710071716448).

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

107282484346752 is a wasteful number, since it uses less digits than its factorization.

107282484346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367556 (or 367535 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 107282484346752 in words is "one hundred seven trillion, two hundred eighty-two billion, four hundred eighty-four million, three hundred forty-six thousand, seven hundred fifty-two".