107026934784 has 352 divisors, whose sum is σ = 362409002496. Its totient is φ = 27271495680.

The previous prime is 107026934771. The next prime is 107026934797. The reversal of 107026934784 is 487439620701.

It is an interprime number because it is at equal distance from previous prime (107026934771) and next prime (107026934797).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×107026934784² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12532564 + ... + 12541100.

Almost surely, 2^107026934784 is an apocalyptic number.

107026934784 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 107026934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181204501248).

107026934784 is an abundant number, since it is smaller than the sum of its proper divisors (255382067712).

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

107026934784 is a wasteful number, since it uses less digits than its factorization.

107026934784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8631 (or 8613 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 107026934784 in words is "one hundred seven billion, twenty-six million, nine hundred thirty-four thousand, seven hundred eighty-four".