109081575624 has 256 divisors, whose sum is σ = 341297971200. Its totient is φ = 28331827200.

The previous prime is 109081575599. The next prime is 109081575721. The reversal of 109081575624 is 426575180901.

It is a happy number.

It is a Cunningham number, because it is equal to 330275²-1.

It is a super-2 number, since 2×109081575624² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67375087 + ... + 67376705.

It is an arithmetic number, because the mean of its divisors is an integer number (1333195200).

Almost surely, 2^109081575624 is an apocalyptic number.

109081575624 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 109081575624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170648985600).

109081575624 is an abundant number, since it is smaller than the sum of its proper divisors (232216395576).

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

109081575624 is a wasteful number, since it uses less digits than its factorization.

With its successor (109081575625) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2444).

109081575624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 109081575624 in words is "one hundred nine billion, eighty-one million, five hundred seventy-five thousand, six hundred twenty-four".