107210005033014 has 144 divisors (see below), whose sum is σ = 253422103334400. Its totient is φ = 32740303063104.

The previous prime is 107210005033009. The next prime is 107210005033063. The reversal of 107210005033014 is 410330500012701.

107210005033014 is a `hidden beast` number, since 10 + 7 + 2 + 100 + 0 + 503 + 30 + 14 = 666.

It is a super-2 number, since 2×107210005033014² (a number of 29 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 71 ways as a sum of consecutive naturals, for example, 334621107 + ... + 334941345.

It is an arithmetic number, because the mean of its divisors is an integer number (1759875717600).

Almost surely, 2^{107210005033014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107210005033014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126711051667200).

107210005033014 is an abundant number, since it is smaller than the sum of its proper divisors (146212098301386).

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

107210005033014 is a wasteful number, since it uses less digits than its factorization.

107210005033014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321099 (or 321083 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 107210005033014 its reverse (410330500012701), we get a palindrome (517540505045715).

The spelling of 107210005033014 in words is "one hundred seven trillion, two hundred ten billion, five million, thirty-three thousand, fourteen".