107978660096 has 288 divisors, whose sum is σ = 247662551808. Its totient is φ = 46699642880.

The previous prime is 107978660093. The next prime is 107978660107. The reversal of 107978660096 is 690066879701.

It is a super-2 number, since 2×107978660096² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107978660093) 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, 340626530 + ... + 340626846.

It is an arithmetic number, because the mean of its divisors is an integer number (859939416).

Almost surely, 2^107978660096 is an apocalyptic number.

107978660096 is a gapful number since it is divisible by the number (16) 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 107978660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123831275904).

107978660096 is an abundant number, since it is smaller than the sum of its proper divisors (139683891712).

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

107978660096 is a wasteful number, since it uses less digits than its factorization.

107978660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 59.

The spelling of 107978660096 in words is "one hundred seven billion, nine hundred seventy-eight million, six hundred sixty thousand, ninety-six".