107174027016 has 640 divisors, whose sum is σ = 377508384000. Its totient is φ = 27715903488.

The previous prime is 107174026943. The next prime is 107174027017. The reversal of 107174027016 is 610720471701.

It is a super-2 number, since 2×107174027016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107174027017) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 342408876 + ... + 342409188.

It is an arithmetic number, because the mean of its divisors is an integer number (589856850).

Almost surely, 2^107174027016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107174027016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188754192000).

107174027016 is an abundant number, since it is smaller than the sum of its proper divisors (270334356984).

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

107174027016 is a wasteful number, since it uses less digits than its factorization.

107174027016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

Adding to 107174027016 its reverse (610720471701), we get a palindrome (717894498717).

The spelling of 107174027016 in words is "one hundred seven billion, one hundred seventy-four million, twenty-seven thousand, sixteen".