107571040640 has 192 divisors, whose sum is σ = 303618475440. Its totient is φ = 36330319872.

The previous prime is 107571040613. The next prime is 107571040649. The reversal of 107571040640 is 46040175701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 107571040640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107571040649) by changing a digit.

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, 2075522 + ... + 2126718.

Almost surely, 2^107571040640 is an apocalyptic number.

107571040640 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 107571040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151809237720).

107571040640 is an abundant number, since it is smaller than the sum of its proper divisors (196047434800).

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

107571040640 is an equidigital number, since it uses as much as digits as its factorization.

107571040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51297 (or 51278 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 107571040640 in words is "one hundred seven billion, five hundred seventy-one million, forty thousand, six hundred forty".