103817952 has 144 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 28359936.

The previous prime is 103817951. The next prime is 103817969. The reversal of 103817952 is 259718301.

It is a tau number, because it is divible by the number of its divisors (144).

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 (103817951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45249 + ... + 47487.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^103817952 is an apocalyptic number.

103817952 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 103817952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

103817952 is an abundant number, since it is smaller than the sum of its proper divisors (248417568).

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

103817952 is a wasteful number, since it uses less digits than its factorization.

103817952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 103817952 is about 10189.1094802245. The cubic root of 103817952 is about 469.9923825535.

The spelling of 103817952 in words is "one hundred three million, eight hundred seventeen thousand, nine hundred fifty-two".