102189024 has 144 divisors (see below), whose sum is σ = 335174112. Its totient is φ = 28929024.

The previous prime is 102189013. The next prime is 102189037. The reversal of 102189024 is 420981201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 348622 + ... + 348914.

It is an arithmetic number, because the mean of its divisors is an integer number (2327598).

Almost surely, 2^102189024 is an apocalyptic number.

102189024 is a gapful number since it is divisible by the number (14) 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 102189024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167587056).

102189024 is an abundant number, since it is smaller than the sum of its proper divisors (232985088).

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

102189024 is a wasteful number, since it uses less digits than its factorization.

102189024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102189024 is about 10108.8586892883. The cubic root of 102189024 is about 467.5213163853.

The spelling of 102189024 in words is "one hundred two million, one hundred eighty-nine thousand, twenty-four".