101652 has 24 divisors (see below), whose sum is σ = 243936. Its totient is φ = 32928.

The previous prime is 101641. The next prime is 101653. The reversal of 101652 is 256101.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101653) by changing a digit.

101652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418 + ... + 614.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

2¹⁰¹⁶⁵² is an apocalyptic number.

101652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101652 is an abundant number, since it is smaller than the sum of its proper divisors (142284).

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

101652 is a wasteful number, since it uses less digits than its factorization.

101652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 101652 is about 318.8291078305. The cubic root of 101652 is about 46.6700904517.

Adding to 101652 its reverse (256101), we get a palindrome (357753).

Subtracting 101652 from its reverse (256101), we obtain a square (154449 = 393²).

The spelling of 101652 in words is "one hundred one thousand, six hundred fifty-two".