107978754048 has 384 divisors, whose sum is σ = 333876816000. Its totient is φ = 30718033920.

The previous prime is 107978754047. The next prime is 107978754161. The reversal of 107978754048 is 840457879701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×107978754048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107978753982 and 107978754000.

It is not an unprimeable number, because it can be changed into a prime (107978754041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72516888 + ... + 72518376.

It is an arithmetic number, because the mean of its divisors is an integer number (869470875).

Almost surely, 2^107978754048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107978754048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166938408000).

107978754048 is an abundant number, since it is smaller than the sum of its proper divisors (225898061952).

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

107978754048 is a wasteful number, since it uses less digits than its factorization.

107978754048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 107978754048 in words is "one hundred seven billion, nine hundred seventy-eight million, seven hundred fifty-four thousand, forty-eight".