101532372 has 24 divisors (see below), whose sum is σ = 237072192. Its totient is φ = 33820800.

The previous prime is 101532367. The next prime is 101532377. The reversal of 101532372 is 273235101.

It is an interprime number because it is at equal distance from previous prime (101532367) and next prime (101532377).

It is a super-3 number, since 3×101532372³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101532377) by changing a digit.

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, 30972 + ... + 34092.

It is an arithmetic number, because the mean of its divisors is an integer number (9878008).

Almost surely, 2^101532372 is an apocalyptic number.

101532372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101532372 is an abundant number, since it is smaller than the sum of its proper divisors (135539820).

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

101532372 is a wasteful number, since it uses less digits than its factorization.

101532372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 101532372 is about 10076.3273071095. The cubic root of 101532372 is about 466.5177554360.

Adding to 101532372 its reverse (273235101), we get a palindrome (374767473).

The spelling of 101532372 in words is "one hundred one million, five hundred thirty-two thousand, three hundred seventy-two".