103584852 has 96 divisors (see below), whose sum is σ = 309021440. Its totient is φ = 29393280.

The previous prime is 103584841. The next prime is 103584907. The reversal of 103584852 is 258485301.

It is a happy number.

It is a super-3 number, since 3×103584852³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 136458 + ... + 137214.

Almost surely, 2^103584852 is an apocalyptic number.

103584852 is a gapful number since it is divisible by the number (12) 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 103584852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154510720).

103584852 is an abundant number, since it is smaller than the sum of its proper divisors (205436588).

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

103584852 is a wasteful number, since it uses less digits than its factorization.

103584852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 103584852 is about 10177.6643686064. The cubic root of 103584852 is about 469.6403646908.

The spelling of 103584852 in words is "one hundred three million, five hundred eighty-four thousand, eight hundred fifty-two".