103955124 has 96 divisors (see below), whose sum is σ = 311592960. Its totient is φ = 26218368.

The previous prime is 103955113. The next prime is 103955129. The reversal of 103955124 is 421559301.

It is a super-4 number, since 4×103955124⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103955091 and 103955100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103955129) 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 31 ways as a sum of consecutive naturals, for example, 23047 + ... + 27185.

It is an arithmetic number, because the mean of its divisors is an integer number (3245760).

Almost surely, 2^103955124 is an apocalyptic number.

103955124 is a gapful number since it is divisible by the number (14) 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 103955124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155796480).

103955124 is an abundant number, since it is smaller than the sum of its proper divisors (207637836).

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

103955124 is a wasteful number, since it uses less digits than its factorization.

103955124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 103955124 is about 10195.8385628648. The cubic root of 103955124 is about 470.1992877517.

The spelling of 103955124 in words is "one hundred three million, nine hundred fifty-five thousand, one hundred twenty-four".