101153232 has 80 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 32889600.

The previous prime is 101153231. The next prime is 101153257. The reversal of 101153232 is 232351101.

101153232 is a `hidden beast` number, since 101 + 1 + 532 + 32 = 666.

It is a super-3 number, since 3×101153232³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101153231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14857 + ... + 20567.

It is an arithmetic number, because the mean of its divisors is an integer number (3718512).

Almost surely, 2^101153232 is an apocalyptic number.

101153232 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 101153232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

101153232 is an abundant number, since it is smaller than the sum of its proper divisors (196327728).

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

101153232 is a wasteful number, since it uses less digits than its factorization.

101153232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101153232 is about 10057.4963087242. The cubic root of 101153232 is about 465.9363442801.

The spelling of 101153232 in words is "one hundred one million, one hundred fifty-three thousand, two hundred thirty-two".