103950 has 96 divisors (see below), whose sum is σ = 357120. Its totient is φ = 21600.

The previous prime is 103919. The next prime is 103951. The reversal of 103950 is 59301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103951) by changing a digit.

103950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9445 + ... + 9455.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2¹⁰³⁹⁵⁰ is an apocalyptic number.

103950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

103950 is an abundant number, since it is smaller than the sum of its proper divisors (253170).

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

103950 is a wasteful number, since it uses less digits than its factorization.

103950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 103950 is about 322.4127789031. The cubic root of 103950 is about 47.0191562172.

103950 divided by its sum of digits (18) gives a palindrome (5775).

It can be divided in two parts, 1039 and 50, that added together give a square (1089 = 33²).

The spelling of 103950 in words is "one hundred three thousand, nine hundred fifty".