109906108416 has 672 divisors, whose sum is σ = 368681983488. Its totient is φ = 32487505920.

The previous prime is 109906108393. The next prime is 109906108439. The reversal of 109906108416 is 614801609901.

109906108416 is a `hidden beast` number, since 10 + 9 + 9 + 0 + 610 + 8 + 4 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (109906108393) and next prime (109906108439).

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 47 ways as a sum of consecutive naturals, for example, 802234300 + ... + 802234436.

It is an arithmetic number, because the mean of its divisors is an integer number (548633904).

Almost surely, 2^109906108416 is an apocalyptic number.

109906108416 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 109906108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184340991744).

109906108416 is an abundant number, since it is smaller than the sum of its proper divisors (258775875072).

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

109906108416 is an equidigital number, since it uses as much as digits as its factorization.

109906108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 109906108416 in words is "one hundred nine billion, nine hundred six million, one hundred eight thousand, four hundred sixteen".