101528742 has 64 divisors (see below), whose sum is σ = 249569280. Its totient is φ = 26886816.

The previous prime is 101528729. The next prime is 101528759. The reversal of 101528742 is 247825101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36153 + ... + 38859.

It is an arithmetic number, because the mean of its divisors is an integer number (3899520).

Almost surely, 2^101528742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101528742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124784640).

101528742 is an abundant number, since it is smaller than the sum of its proper divisors (148040538).

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

101528742 is a wasteful number, since it uses less digits than its factorization.

101528742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 101528742 is about 10076.1471803463. The cubic root of 101528742 is about 466.5121956997.

The spelling of 101528742 in words is "one hundred one million, five hundred twenty-eight thousand, seven hundred forty-two".