109198656 has 252 divisors, whose sum is σ = 376051572. Its totient is φ = 30191616.

The previous prime is 109198651. The next prime is 109198669. The reversal of 109198656 is 656891901.

It can be written as a sum of positive squares in 2 ways, for example, as 70560000 + 38638656 = 8400^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109198651) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1495836 + ... + 1495908.

Almost surely, 2^109198656 is an apocalyptic number.

109198656 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 109198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188025786).

109198656 is an abundant number, since it is smaller than the sum of its proper divisors (266852916).

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

109198656 is a wasteful number, since it uses less digits than its factorization.

109198656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 109198656 is about 10449.8160749364. The cubic root of 109198656 is about 477.9756411086.

It can be divided in two parts, 109 and 198656, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 109198656 in words is "one hundred nine million, one hundred ninety-eight thousand, six hundred fifty-six".