107783896320 has 1152 divisors, whose sum is σ = 421548019200. Its totient is φ = 26011238400.

The previous prime is 107783896309. The next prime is 107783896321. The reversal of 107783896320 is 23698387701.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107783896321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1766949090 + ... + 1766949150.

It is an arithmetic number, because the mean of its divisors is an integer number (365927100).

Almost surely, 2^107783896320 is an apocalyptic number.

107783896320 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 107783896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210774009600).

107783896320 is an abundant number, since it is smaller than the sum of its proper divisors (313764122880).

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

107783896320 is a wasteful number, since it uses less digits than its factorization.

107783896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 107783896320 in words is "one hundred seven billion, seven hundred eighty-three million, eight hundred ninety-six thousand, three hundred twenty".