101252532 has 48 divisors (see below), whose sum is σ = 250048512. Its totient is φ = 31822560.

The previous prime is 101252531. The next prime is 101252549. The reversal of 101252532 is 235252101.

It is a super-2 number, since 2×101252532² = 20504150472822048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101252499 and 101252508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101252531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17013 + ... + 22179.

It is an arithmetic number, because the mean of its divisors is an integer number (5209344).

Almost surely, 2^101252532 is an apocalyptic number.

101252532 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 101252532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125024256).

101252532 is an abundant number, since it is smaller than the sum of its proper divisors (148795980).

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

101252532 is a wasteful number, since it uses less digits than its factorization.

101252532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 101252532 is about 10062.4317140540. The cubic root of 101252532 is about 466.0887610522.

The spelling of 101252532 in words is "one hundred one million, two hundred fifty-two thousand, five hundred thirty-two".