107533378327424 has 192 divisors, whose sum is σ = 254433697081200. Its totient is φ = 45127385210880.

The previous prime is 107533378327409. The next prime is 107533378327469. The reversal of 107533378327424 is 424723873335701.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 62797154 + ... + 64486814.

Almost surely, 2^{107533378327424} is an apocalyptic number.

107533378327424 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 107533378327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127216848540600).

107533378327424 is an abundant number, since it is smaller than the sum of its proper divisors (146900318753776).

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

107533378327424 is a wasteful number, since it uses less digits than its factorization.

107533378327424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689901 (or 1689882 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 59.

The spelling of 107533378327424 in words is "one hundred seven trillion, five hundred thirty-three billion, three hundred seventy-eight million, three hundred twenty-seven thousand, four hundred twenty-four".