101152032 has 48 divisors (see below), whose sum is σ = 267496992. Its totient is φ = 33466880.

The previous prime is 101152003. The next prime is 101152049. The reversal of 101152032 is 230251101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9307 + ... + 16997.

It is an arithmetic number, because the mean of its divisors is an integer number (5572854).

Almost surely, 2^101152032 is an apocalyptic number.

101152032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133748496).

101152032 is an abundant number, since it is smaller than the sum of its proper divisors (166344960).

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

101152032 is a wasteful number, since it uses less digits than its factorization.

101152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7841 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 101152032 is about 10057.4366515529. The cubic root of 101152032 is about 465.9345017757.

The spelling of 101152032 in words is "one hundred one million, one hundred fifty-two thousand, thirty-two".