107838225040 has 640 divisors, whose sum is σ = 335210545152. Its totient is φ = 31337349120.

The previous prime is 107838225031. The next prime is 107838225059. The reversal of 107838225040 is 40522838701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 107838224984 and 107838225002.

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, 558747184 + ... + 558747376.

Almost surely, 2^107838225040 is an apocalyptic number.

107838225040 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 107838225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167605272576).

107838225040 is an abundant number, since it is smaller than the sum of its proper divisors (227372320112).

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

107838225040 is a wasteful number, since it uses less digits than its factorization.

107838225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 107838225040 in words is "one hundred seven billion, eight hundred thirty-eight million, two hundred twenty-five thousand, forty".