101528064 has 120 divisors (see below), whose sum is σ = 319814352. Its totient is φ = 30750720.

The previous prime is 101528051. The next prime is 101528071. The reversal of 101528064 is 460825101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49687 + ... + 51689.

Almost surely, 2^101528064 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 101528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159907176).

101528064 is an abundant number, since it is smaller than the sum of its proper divisors (218286288).

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

101528064 is a wasteful number, since it uses less digits than its factorization.

101528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101528064 is about 10076.1135364782. The cubic root of 101528064 is about 466.5111572550.

The spelling of 101528064 in words is "one hundred one million, five hundred twenty-eight thousand, sixty-four".