107189632 has 32 divisors (see below), whose sum is σ = 232957800. Its totient is φ = 48721920.

The previous prime is 107189617. The next prime is 107189639. The reversal of 107189632 is 236981701.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×107189632² = 22979234416590848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107189591 and 107189600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107189639) 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 3 ways as a sum of consecutive naturals, for example, 36657 + ... + 39472.

Almost surely, 2^107189632 is an apocalyptic number.

It is an amenable number.

107189632 is an abundant number, since it is smaller than the sum of its proper divisors (125768168).

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

107189632 is an equidigital number, since it uses as much as digits as its factorization.

107189632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76154 (or 76142 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 107189632 is about 10353.2425838478. The cubic root of 107189632 is about 475.0262323463.

The spelling of 107189632 in words is "one hundred seven million, one hundred eighty-nine thousand, six hundred thirty-two".