109519936344 has 384 divisors, whose sum is σ = 385100352000. Its totient is φ = 27305828352.

The previous prime is 109519936333. The next prime is 109519936367. The reversal of 109519936344 is 443639915901.

It is a happy number.

109519936344 is a `hidden beast` number, since 1 + 0 + 9 + 519 + 93 + 6 + 34 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115648879 + ... + 115649825.

It is an arithmetic number, because the mean of its divisors is an integer number (1002865500).

Almost surely, 2^109519936344 is an apocalyptic number.

109519936344 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 109519936344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192550176000).

109519936344 is an abundant number, since it is smaller than the sum of its proper divisors (275580415656).

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

109519936344 is a wasteful number, since it uses less digits than its factorization.

109519936344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 109519936344 in words is "one hundred nine billion, five hundred nineteen million, nine hundred thirty-six thousand, three hundred forty-four".