109661365200 has 240 divisors, whose sum is σ = 370470574080. Its totient is φ = 27651479040.

The previous prime is 109661365193. The next prime is 109661365207. The reversal of 109661365200 is 2563166901.

It is an interprime number because it is at equal distance from previous prime (109661365193) and next prime (109661365207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109661365207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12832129 + ... + 12840671.

It is an arithmetic number, because the mean of its divisors is an integer number (1543627392).

Almost surely, 2^109661365200 is an apocalyptic number.

109661365200 is a gapful number since it is divisible by the number (10) 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 109661365200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185235287040).

109661365200 is an abundant number, since it is smaller than the sum of its proper divisors (260809208880).

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

109661365200 is a wasteful number, since it uses less digits than its factorization.

109661365200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 109661365200 in words is "one hundred nine billion, six hundred sixty-one million, three hundred sixty-five thousand, two hundred".