109961216 has 56 divisors (see below), whose sum is σ = 227527104. Its totient is φ = 53084160.

The previous prime is 109961197. The next prime is 109961249. The reversal of 109961216 is 612169901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253736 + ... + 254168.

It is an arithmetic number, because the mean of its divisors is an integer number (4062984).

Almost surely, 2^109961216 is an apocalyptic number.

109961216 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 109961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113763552).

109961216 is an abundant number, since it is smaller than the sum of its proper divisors (117565888).

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

109961216 is an frugal number, since it uses more digits than its factorization.

109961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 109961216 is about 10486.2393640428. The cubic root of 109961216 is about 479.0856668359.

The spelling of 109961216 in words is "one hundred nine million, nine hundred sixty-one thousand, two hundred sixteen".