107633196 has 72 divisors (see below), whose sum is σ = 303174144. Its totient is φ = 31916640.

The previous prime is 107633191. The next prime is 107633203. The reversal of 107633196 is 691336701.

107633196 is a `hidden beast` number, since 1 + 0 + 7 + 633 + 19 + 6 = 666.

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 107633196.

It is not an unprimeable number, because it can be changed into a prime (107633191) 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 23 ways as a sum of consecutive naturals, for example, 15721 + ... + 21503.

It is an arithmetic number, because the mean of its divisors is an integer number (4210752).

Almost surely, 2^107633196 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 107633196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151587072).

107633196 is an abundant number, since it is smaller than the sum of its proper divisors (195540948).

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

107633196 is a wasteful number, since it uses less digits than its factorization.

107633196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 107633196 is about 10374.6419697260. The cubic root of 107633196 is about 475.6805697656.

Adding to 107633196 its reverse (691336701), we get a palindrome (798969897).

The spelling of 107633196 in words is "one hundred seven million, six hundred thirty-three thousand, one hundred ninety-six".