107017034880 has 1152 divisors, whose sum is σ = 440191428480. Its totient is φ = 22004269056.

The previous prime is 107017034863. The next prime is 107017034893. The reversal of 107017034880 is 88430710701.

It is a super-2 number, since 2×107017034880² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 781146172 + ... + 781146308.

It is an arithmetic number, because the mean of its divisors is an integer number (382110615).

Almost surely, 2^107017034880 is an apocalyptic number.

107017034880 is a gapful number since it is divisible by the number (10) 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 107017034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220095714240).

107017034880 is an abundant number, since it is smaller than the sum of its proper divisors (333174393600).

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

107017034880 is a wasteful number, since it uses less digits than its factorization.

107017034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 107017034880 in words is "one hundred seven billion, seventeen million, thirty-four thousand, eight hundred eighty".