101024532 has 72 divisors (see below), whose sum is σ = 292795776. Its totient is φ = 28770624.

The previous prime is 101024531. The next prime is 101024537. The reversal of 101024532 is 235420101.

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 (101024531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126358 + ... + 127154.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2^101024532 is an apocalyptic number.

101024532 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 101024532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397888).

101024532 is an abundant number, since it is smaller than the sum of its proper divisors (191771244).

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

101024532 is a wasteful number, since it uses less digits than its factorization.

101024532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101024532 is about 10051.0960596345. The cubic root of 101024532 is about 465.7386525984.

Adding to 101024532 its reverse (235420101), we get a palindrome (336444633).

The spelling of 101024532 in words is "one hundred one million, twenty-four thousand, five hundred thirty-two".