107633792 has 72 divisors (see below), whose sum is σ = 251353755. Its totient is φ = 45776640.

The previous prime is 107633791. The next prime is 107633797. The reversal of 107633792 is 297336701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 53816896 + 53816896 = 7336^2 + 7336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7336.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107633791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 821567 + ... + 821697.

Almost surely, 2^107633792 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 107633792

107633792 is an abundant number, since it is smaller than the sum of its proper divisors (143719963).

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

107633792 is an frugal number, since it uses more digits than its factorization.

107633792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 107633792 is about 10374.6706935690. The cubic root of 107633792 is about 475.6814477633.

The spelling of 107633792 in words is "one hundred seven million, six hundred thirty-three thousand, seven hundred ninety-two".