108537641059600 has 135 divisors (see below), whose sum is σ = 262216933300623. Its totient is φ = 43174105681920.

The previous prime is 108537641059583. The next prime is 108537641059621. The reversal of 108537641059600 is 6950146735801.

The square root of 108537641059600 is 10418140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17456118514704 + 91081522544896 = 4178052^2 + 9543664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40214019051 + ... + 40214021749.

Almost surely, 2^{108537641059600} is an apocalyptic number.

108537641059600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108537641059600 is the 10418140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108537641059600

108537641059600 is an abundant number, since it is smaller than the sum of its proper divisors (153679292241023).

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

108537641059600 is an frugal number, since it uses more digits than its factorization.

108537641059600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 108537641059600 in words is "one hundred eight trillion, five hundred thirty-seven billion, six hundred forty-one million, fifty-nine thousand, six hundred".