32105136 has 160 divisors (see below), whose sum is σ = 102850560. Its totient is φ = 8425728.

The previous prime is 32105083. The next prime is 32105137. The reversal of 32105136 is 63150123.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (32105137) 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 31 ways as a sum of consecutive naturals, for example, 299995 + ... + 300101.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 2^32105136 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 32105136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51425280).

32105136 is an abundant number, since it is smaller than the sum of its proper divisors (70745424).

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

32105136 is a wasteful number, since it uses less digits than its factorization.

32105136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 32105136 is about 5666.1394264525. The cubic root of 32105136 is about 317.8275240483.

Adding to 32105136 its reverse (63150123), we get a palindrome (95255259).

The spelling of 32105136 in words is "thirty-two million, one hundred five thousand, one hundred thirty-six".