109226352144 has 480 divisors, whose sum is σ = 380354227200. Its totient is φ = 26342184960.

The previous prime is 109226352143. The next prime is 109226352161. The reversal of 109226352144 is 441253622901.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (109226352143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31286239 + ... + 31289729.

It is an arithmetic number, because the mean of its divisors is an integer number (792404640).

Almost surely, 2^109226352144 is an apocalyptic number.

109226352144 is a gapful number since it is divisible by the number (14) 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 109226352144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190177113600).

109226352144 is an abundant number, since it is smaller than the sum of its proper divisors (271127875056).

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

109226352144 is a wasteful number, since it uses less digits than its factorization.

109226352144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 109226352144 in words is "one hundred nine billion, two hundred twenty-six million, three hundred fifty-two thousand, one hundred forty-four".