109422077184 has 324 divisors, whose sum is σ = 373039392180. Its totient is φ = 30748999680.

The previous prime is 109422077161. The next prime is 109422077221. The reversal of 109422077184 is 481770224901.

It can be written as a sum of positive squares in 2 ways, for example, as 11778326784 + 97643750400 = 108528^2 + 312480^2 .

It is a super-2 number, since 2×109422077184² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6878712 + ... + 6894600.

Almost surely, 2^109422077184 is an apocalyptic number.

109422077184 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 109422077184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186519696090).

109422077184 is an abundant number, since it is smaller than the sum of its proper divisors (263617314996).

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

109422077184 is a wasteful number, since it uses less digits than its factorization.

109422077184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15986 (or 15962 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 109422077184 in words is "one hundred nine billion, four hundred twenty-two million, seventy-seven thousand, one hundred eighty-four".