108123395097600 has 2079 divisors, whose sum is σ = 421247676728983. Its totient is φ = 27503261614080.

The previous prime is 108123395097577. The next prime is 108123395097643. The reversal of 108123395097600 is 6790593321801.

The square root of 108123395097600 is 10398240.

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

108123395097600 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 23 + 3 + 9 + 5 + 0 + 9 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1486214562816 + 106637180534784 = 1219104^2 + 10326528^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1302691507159 + ... + 1302691507241.

Almost surely, 2^{108123395097600} is an apocalyptic number.

108123395097600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108123395097600 is the 10398240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108123395097600

108123395097600 is an abundant number, since it is smaller than the sum of its proper divisors (313124281631383).

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

108123395097600 is an frugal number, since it uses more digits than its factorization.

108123395097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 108123395097600 in words is "one hundred eight trillion, one hundred twenty-three billion, three hundred ninety-five million, ninety-seven thousand, six hundred".