103799952 has 60 divisors (see below), whose sum is σ = 292191120. Its totient is φ = 34398144.

The previous prime is 103799921. The next prime is 103799953. The reversal of 103799952 is 259997301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103799898 and 103799907.

It is not an unprimeable number, because it can be changed into a prime (103799953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23763 + ... + 27789.

It is an arithmetic number, because the mean of its divisors is an integer number (4869852).

Almost surely, 2^103799952 is an apocalyptic number.

103799952 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 103799952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146095560).

103799952 is an abundant number, since it is smaller than the sum of its proper divisors (188391168).

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

103799952 is a wasteful number, since it uses less digits than its factorization.

103799952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 103799952 is about 10188.2261459000. The cubic root of 103799952 is about 469.9652184915.

The spelling of 103799952 in words is "one hundred three million, seven hundred ninety-nine thousand, nine hundred fifty-two".