107884943040 has 896 divisors, whose sum is σ = 430793883648. Its totient is φ = 22315991040.

The previous prime is 107884943011. The next prime is 107884943059. The reversal of 107884943040 is 40349488701.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 381218739 + ... + 381219021.

Almost surely, 2^107884943040 is an apocalyptic number.

107884943040 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 107884943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215396941824).

107884943040 is an abundant number, since it is smaller than the sum of its proper divisors (322908940608).

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

107884943040 is a wasteful number, since it uses less digits than its factorization.

107884943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 107884943040 in words is "one hundred seven billion, eight hundred eighty-four million, nine hundred forty-three thousand, forty".