103839552 has 84 divisors (see below), whose sum is σ = 304966116. Its totient is φ = 33761280.

The previous prime is 103839551. The next prime is 103839569. The reversal of 103839552 is 255938301.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 80568576 = 4824^2 + 8976^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103839551) 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, 21418 + ... + 25814.

It is an arithmetic number, because the mean of its divisors is an integer number (3630549).

Almost surely, 2^103839552 is an apocalyptic number.

103839552 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 103839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152483058).

103839552 is an abundant number, since it is smaller than the sum of its proper divisors (201126564).

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

103839552 is a wasteful number, since it uses less digits than its factorization.

103839552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 103839552 is about 10190.1693803391. The cubic root of 103839552 is about 470.0249752837.

The spelling of 103839552 in words is "one hundred three million, eight hundred thirty-nine thousand, five hundred fifty-two".