109140864091000 has 256 divisors, whose sum is σ = 294824203315200. Its totient is φ = 37042998912000.

The previous prime is 109140864090919. The next prime is 109140864091003. The reversal of 109140864091000 is 190468041901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109140864091003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344122495 + ... + 344439505.

It is an arithmetic number, because the mean of its divisors is an integer number (1151657044200).

Almost surely, 2^{109140864091000} is an apocalyptic number.

109140864091000 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 109140864091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147412101657600).

109140864091000 is an abundant number, since it is smaller than the sum of its proper divisors (185683339224200).

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

109140864091000 is a wasteful number, since it uses less digits than its factorization.

109140864091000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317535 (or 317521 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 109140864091000 in words is "one hundred nine trillion, one hundred forty billion, eight hundred sixty-four million, ninety-one thousand".