109106023228160 has 1152 divisors, whose sum is σ = 322740130406400. Its totient is φ = 34549860925440.

The previous prime is 109106023228159. The next prime is 109106023228193. The reversal of 109106023228160 is 61822320601901.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185870567387 + ... + 185870567973.

It is an arithmetic number, because the mean of its divisors is an integer number (280156363200).

Almost surely, 2^{109106023228160} is an apocalyptic number.

109106023228160 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 109106023228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161370065203200).

109106023228160 is an abundant number, since it is smaller than the sum of its proper divisors (213634107178240).

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

109106023228160 is a wasteful number, since it uses less digits than its factorization.

109106023228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 109106023228160 in words is "one hundred nine trillion, one hundred six billion, twenty-three million, two hundred twenty-eight thousand, one hundred sixty".