103852512 has 72 divisors (see below), whose sum is σ = 296903880. Its totient is φ = 34433280.

The previous prime is 103852487. The next prime is 103852513. The reversal of 103852512 is 215258301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103852513) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59914 + ... + 61622.

It is an arithmetic number, because the mean of its divisors is an integer number (4123665).

Almost surely, 2^103852512 is an apocalyptic number.

103852512 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 103852512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148451940).

103852512 is an abundant number, since it is smaller than the sum of its proper divisors (193051368).

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

103852512 is a wasteful number, since it uses less digits than its factorization.

103852512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 103852512 is about 10190.8052674948. The cubic root of 103852512 is about 470.0445287523.

The spelling of 103852512 in words is "one hundred three million, eight hundred fifty-two thousand, five hundred twelve".