107285626240 has 256 divisors, whose sum is σ = 285699960000. Its totient is φ = 38267486208.

The previous prime is 107285626219. The next prime is 107285626241. The reversal of 107285626240 is 42626582701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107285626241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45866991 + ... + 45869329.

Almost surely, 2^107285626240 is an apocalyptic number.

107285626240 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 107285626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142849980000).

107285626240 is an abundant number, since it is smaller than the sum of its proper divisors (178414333760).

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

107285626240 is a wasteful number, since it uses less digits than its factorization.

107285626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 107285626240 in words is "one hundred seven billion, two hundred eighty-five million, six hundred twenty-six thousand, two hundred forty".