101532000 has 96 divisors (see below), whose sum is σ = 332658144. Its totient is φ = 27072000.

The previous prime is 101531993. The next prime is 101532043. The reversal of 101532000 is 235101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7770 + ... + 16230.

It is an arithmetic number, because the mean of its divisors is an integer number (3465189).

Almost surely, 2^101532000 is an apocalyptic number.

101532000 is a gapful number since it is divisible by the number (10) 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 101532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166329072).

101532000 is an abundant number, since it is smaller than the sum of its proper divisors (231126144).

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

101532000 is an equidigital number, since it uses as much as digits as its factorization.

101532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 101532000 is about 10076.3088479860. The cubic root of 101532000 is about 466.5171856840.

Adding to 101532000 its reverse (235101), we get a palindrome (101767101).

The spelling of 101532000 in words is "one hundred one million, five hundred thirty-two thousand".