103829472 has 96 divisors (see below), whose sum is σ = 320695200. Its totient is φ = 32569344.

The previous prime is 103829449. The next prime is 103829497. The reversal of 103829472 is 274928301.

103829472 is a `hidden beast` number, since 103 + 82 + 9 + 472 = 666.

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 (36).

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, 11154 + ... + 18222.

It is an arithmetic number, because the mean of its divisors is an integer number (3340575).

Almost surely, 2^103829472 is an apocalyptic number.

103829472 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 103829472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160347600).

103829472 is an abundant number, since it is smaller than the sum of its proper divisors (216865728).

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

103829472 is a wasteful number, since it uses less digits than its factorization.

103829472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7105 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 103829472 is about 10189.6747740053. The cubic root of 103829472 is about 470.0097659054.

The spelling of 103829472 in words is "one hundred three million, eight hundred twenty-nine thousand, four hundred seventy-two".