107086017024 has 480 divisors, whose sum is σ = 375688025856. Its totient is φ = 28665446400.

The previous prime is 107086017001. The next prime is 107086017043. The reversal of 107086017024 is 420710680701.

It is a super-2 number, since 2×107086017024² (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 a self number, because there is not a number n which added to its sum of digits gives 107086017024.

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 47 ways as a sum of consecutive naturals, for example, 219888909 + ... + 219889395.

Almost surely, 2^107086017024 is an apocalyptic number.

107086017024 is a gapful number since it is divisible by the number (14) 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 107086017024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187844012928).

107086017024 is an abundant number, since it is smaller than the sum of its proper divisors (268602008832).

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

107086017024 is a wasteful number, since it uses less digits than its factorization.

107086017024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 107086017024 its reverse (420710680701), we get a palindrome (527796697725).

The spelling of 107086017024 in words is "one hundred seven billion, eighty-six million, seventeen thousand, twenty-four".