108937231290000 has 375 divisors, whose sum is σ = 394027799068717. Its totient is φ = 29047423392000.

The previous prime is 108937231289987. The next prime is 108937231290071. The reversal of 108937231290000 is 92132739801.

The square root of 108937231290000 is 10437300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 38697008958864 + 70240222331136 = 6220692^2 + 8380944^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a super-3 number, since 3×108937231290000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 9393564202 + ... + 9393575798.

Almost surely, 2^{108937231290000} is an apocalyptic number.

108937231290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108937231290000 is the 10437300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108937231290000

108937231290000 is an abundant number, since it is smaller than the sum of its proper divisors (285090567778717).

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

108937231290000 is an frugal number, since it uses more digits than its factorization.

108937231290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23234 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 108937231290000 in words is "one hundred eight trillion, nine hundred thirty-seven billion, two hundred thirty-one million, two hundred ninety thousand".