101536032 has 48 divisors (see below), whose sum is σ = 287038080. Its totient is φ = 31241472.

The previous prime is 101536031. The next prime is 101536033. The reversal of 101536032 is 230635101.

It is an interprime number because it is at equal distance from previous prime (101536031) and next prime (101536033).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (101536031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39432 + ... + 41927.

It is an arithmetic number, because the mean of its divisors is an integer number (5979960).

Almost surely, 2^101536032 is an apocalyptic number.

101536032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101536032 is an abundant number, since it is smaller than the sum of its proper divisors (185502048).

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

101536032 is a wasteful number, since it uses less digits than its factorization.

101536032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81385 (or 81377 counting only the distinct ones).

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

The square root of 101536032 is about 10076.5089192637. The cubic root of 101536032 is about 466.5233609863.

The spelling of 101536032 in words is "one hundred one million, five hundred thirty-six thousand, thirty-two".