108261454867200 has 972 divisors, whose sum is σ = 423082700982760. Its totient is φ = 27350060728320.

The previous prime is 108261454867079. The next prime is 108261454867213. The reversal of 108261454867200 is 2768454162801.

108261454867200 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 6 + 14 + 548 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 797749752 + ... + 797885448.

Almost surely, 2^{108261454867200} is an apocalyptic number.

108261454867200 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 108261454867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211541350491380).

108261454867200 is an abundant number, since it is smaller than the sum of its proper divisors (314821246115560).

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

108261454867200 is an frugal number, since it uses more digits than its factorization.

108261454867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135766 (or 135726 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 108261454867200 in words is "one hundred eight trillion, two hundred sixty-one billion, four hundred fifty-four million, eight hundred sixty-seven thousand, two hundred".