108564261120 has 720 divisors, whose sum is σ = 467383002240. Its totient is φ = 23505666048.

The previous prime is 108564261089. The next prime is 108564261121. The reversal of 108564261120 is 21162465801.

It is a happy number.

108564261120 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 642 + 6 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×108564261120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (108564261121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13785504 + ... + 13793376.

Almost surely, 2^108564261120 is an apocalyptic number.

108564261120 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 108564261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233691501120).

108564261120 is an abundant number, since it is smaller than the sum of its proper divisors (358818741120).

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

108564261120 is an equidigital number, since it uses as much as digits as its factorization.

108564261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 7909 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 108564261120 in words is "one hundred eight billion, five hundred sixty-four million, two hundred sixty-one thousand, one hundred twenty".