101536912 has 40 divisors (see below), whose sum is σ = 207799200. Its totient is φ = 47930112.

The previous prime is 101536891. The next prime is 101536949. The reversal of 101536912 is 219635101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172683 + ... + 173269.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^101536912 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 101536912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103899600).

101536912 is an abundant number, since it is smaller than the sum of its proper divisors (106262288).

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

101536912 is a wasteful number, since it uses less digits than its factorization.

101536912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 101536912 is about 10076.5525850858. The cubic root of 101536912 is about 466.5247087489.

The spelling of 101536912 in words is "one hundred one million, five hundred thirty-six thousand, nine hundred twelve".