108261997600 has 144 divisors (see below), whose sum is σ = 285123266568. Its totient is φ = 39988183040.

The previous prime is 108261997577. The next prime is 108261997603. The reversal of 108261997600 is 6799162801.

108261997600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 26669502864 + 81592494736 = 163308^2 + 285644^2 .

It is not an unprimeable number, because it can be changed into a prime (108261997603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645702 + ... + 795898.

Almost surely, 2^108261997600 is an apocalyptic number.

108261997600 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 108261997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142561633284).

108261997600 is an abundant number, since it is smaller than the sum of its proper divisors (176861268968).

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

108261997600 is a wasteful number, since it uses less digits than its factorization.

108261997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150287 (or 150274 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 108261997600 in words is "one hundred eight billion, two hundred sixty-one million, nine hundred ninety-seven thousand, six hundred".