107661096 has 64 divisors (see below), whose sum is σ = 303998400. Its totient is φ = 35294400.

The previous prime is 107661077. The next prime is 107661097. The reversal of 107661096 is 690166701.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107661096.

It is not an unprimeable number, because it can be changed into a prime (107661097) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9091 + ... + 17261.

It is an arithmetic number, because the mean of its divisors is an integer number (4749975).

Almost surely, 2^107661096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107661096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151999200).

107661096 is an abundant number, since it is smaller than the sum of its proper divisors (196337304).

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

107661096 is a wasteful number, since it uses less digits than its factorization.

107661096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8237 counting only the distinct ones).

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

The square root of 107661096 is about 10375.9865073158. The cubic root of 107661096 is about 475.7216671898.

The spelling of 107661096 in words is "one hundred seven million, six hundred sixty-one thousand, ninety-six".