109661760 has 336 divisors, whose sum is σ = 424373040. Its totient is φ = 25804800.

The previous prime is 109661743. The next prime is 109661767. The reversal of 109661760 is 67166901.

It can be written as a sum of positive squares in 8 ways, for example, as 166464 + 109495296 = 408^2 + 10464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109661767) 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, 1085710 + ... + 1085810.

It is an arithmetic number, because the mean of its divisors is an integer number (1263015).

Almost surely, 2^109661760 is an apocalyptic number.

109661760 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 109661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212186520).

109661760 is an abundant number, since it is smaller than the sum of its proper divisors (314711280).

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

109661760 is a wasteful number, since it uses less digits than its factorization.

109661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 109661760 is about 10471.9511076017. The cubic root of 109661760 is about 478.6503754599.

The spelling of 109661760 in words is "one hundred nine million, six hundred sixty-one thousand, seven hundred sixty".