107903618640 has 800 divisors, whose sum is σ = 406404345600. Its totient is φ = 26466435072.

The previous prime is 107903618593. The next prime is 107903618671. The reversal of 107903618640 is 46816309701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 724185286 + ... + 724185434.

It is an arithmetic number, because the mean of its divisors is an integer number (508005432).

Almost surely, 2^107903618640 is an apocalyptic number.

107903618640 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 107903618640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203202172800).

107903618640 is an abundant number, since it is smaller than the sum of its proper divisors (298500726960).

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

107903618640 is a wasteful number, since it uses less digits than its factorization.

107903618640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 107903618640 in words is "one hundred seven billion, nine hundred three million, six hundred eighteen thousand, six hundred forty".