107709632 has 56 divisors (see below), whose sum is σ = 227472240. Its totient is φ = 50457600.

The previous prime is 107709631. The next prime is 107709643. The reversal of 107709632 is 236907701.

It is a junction number, because it is equal to n+sod(n) for n = 107709592 and 107709601.

It is not an unprimeable number, because it can be changed into a prime (107709631) 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 7 ways as a sum of consecutive naturals, for example, 122378 + ... + 123254.

Almost surely, 2^107709632 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 107709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113736120).

107709632 is an abundant number, since it is smaller than the sum of its proper divisors (119762608).

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

107709632 is a wasteful number, since it uses less digits than its factorization.

107709632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 107709632 is about 10378.3251057191. The cubic root of 107709632 is about 475.7931450613.

It can be divided in two parts, 10770 and 9632, that added together give a palindrome (20402).

The spelling of 107709632 in words is "one hundred seven million, seven hundred nine thousand, six hundred thirty-two".