101689824 has 96 divisors (see below), whose sum is σ = 283409280. Its totient is φ = 31836672.

The previous prime is 101689817. The next prime is 101689829. The reversal of 101689824 is 428986101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101689829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359187 + ... + 359469.

It is an arithmetic number, because the mean of its divisors is an integer number (2952180).

Almost surely, 2^101689824 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 101689824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141704640).

101689824 is an abundant number, since it is smaller than the sum of its proper divisors (181719456).

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

101689824 is a wasteful number, since it uses less digits than its factorization.

101689824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 101689824 is about 10084.1372461902. The cubic root of 101689824 is about 466.7587827229.

The spelling of 101689824 in words is "one hundred one million, six hundred eighty-nine thousand, eight hundred twenty-four".