108197945856 has 960 divisors, whose sum is σ = 438088210560. Its totient is φ = 25918341120.

The previous prime is 108197945777. The next prime is 108197945909. The reversal of 108197945856 is 658549791801.

108197945856 is a `hidden beast` number, since 10 + 81 + 97 + 9 + 458 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 108197945793 and 108197945802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96864210 + ... + 96865326.

It is an arithmetic number, because the mean of its divisors is an integer number (456341886).

Almost surely, 2^108197945856 is an apocalyptic number.

108197945856 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 108197945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219044105280).

108197945856 is an abundant number, since it is smaller than the sum of its proper divisors (329890264704).

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

108197945856 is a wasteful number, since it uses less digits than its factorization.

108197945856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 108197945856 in words is "one hundred eight billion, one hundred ninety-seven million, nine hundred forty-five thousand, eight hundred fifty-six".