109061415936 has 528 divisors, whose sum is σ = 367456609728. Its totient is φ = 31045386240.

The previous prime is 109061415907. The next prime is 109061415943. The reversal of 109061415936 is 639514160901.

109061415936 is a `hidden beast` number, since 1 + 0 + 90 + 61 + 415 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-4 number, since 4×109061415936⁴ (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109061415891 and 109061415900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208530171 + ... + 208530693.

Almost surely, 2^109061415936 is an apocalyptic number.

109061415936 is a gapful number since it is divisible by the number (16) 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 109061415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183728304864).

109061415936 is an abundant number, since it is smaller than the sum of its proper divisors (258395193792).

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

109061415936 is a wasteful number, since it uses less digits than its factorization.

109061415936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 109061415936 in words is "one hundred nine billion, sixty-one million, four hundred fifteen thousand, nine hundred thirty-six".