101652352 has 64 divisors (see below), whose sum is σ = 210968640. Its totient is φ = 48752640.

The previous prime is 101652349. The next prime is 101652361. The reversal of 101652352 is 253256101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 366838 + ... + 367114.

It is an arithmetic number, because the mean of its divisors is an integer number (3296385).

Almost surely, 2^101652352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105484320).

101652352 is an abundant number, since it is smaller than the sum of its proper divisors (109316288).

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

101652352 is an equidigital number, since it uses as much as digits as its factorization.

101652352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 101652352 is about 10082.2791074241. The cubic root of 101652352 is about 466.7014432133.

The spelling of 101652352 in words is "one hundred one million, six hundred fifty-two thousand, three hundred fifty-two".