103950432 has 96 divisors (see below), whose sum is σ = 316431360. Its totient is φ = 33137280.

The previous prime is 103950419. The next prime is 103950449. The reversal of 103950432 is 234059301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103950396 and 103950405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17257 + ... + 22487.

It is an arithmetic number, because the mean of its divisors is an integer number (3296160).

Almost surely, 2^103950432 is an apocalyptic number.

103950432 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 103950432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158215680).

103950432 is an abundant number, since it is smaller than the sum of its proper divisors (212480928).

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

103950432 is a wasteful number, since it uses less digits than its factorization.

103950432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 103950432 is about 10195.6084663938. The cubic root of 103950432 is about 470.1922135189.

The spelling of 103950432 in words is "one hundred three million, nine hundred fifty thousand, four hundred thirty-two".