103999952 has 60 divisors (see below), whose sum is σ = 236742660. Its totient is φ = 44126208.

The previous prime is 103999943. The next prime is 103999957. The reversal of 103999952 is 259999301.

It can be written as a sum of positive squares in 2 ways, for example, as 53816896 + 50183056 = 7336^2 + 7084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103999897 and 103999906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103999957) 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 11 ways as a sum of consecutive naturals, for example, 84848 + ... + 86064.

It is an arithmetic number, because the mean of its divisors is an integer number (3945711).

Almost surely, 2^103999952 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 103999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118371330).

103999952 is an abundant number, since it is smaller than the sum of its proper divisors (132742708).

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

103999952 is a wasteful number, since it uses less digits than its factorization.

103999952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 47.

The square root of 103999952 is about 10198.0366737917. The cubic root of 103999952 is about 470.2668651954.

The spelling of 103999952 in words is "one hundred three million, nine hundred ninety-nine thousand, nine hundred fifty-two".