103829040 has 360 divisors, whose sum is σ = 424504080. Its totient is φ = 23514624.

The previous prime is 103829027. The next prime is 103829041. The reversal of 103829040 is 40928301.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 103828995 and 103829013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103829041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952506 + ... + 952614.

It is an arithmetic number, because the mean of its divisors is an integer number (1179178).

Almost surely, 2^103829040 is an apocalyptic number.

103829040 is a gapful number since it is divisible by the number (10) 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 103829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212252040).

103829040 is an abundant number, since it is smaller than the sum of its proper divisors (320675040).

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

103829040 is a wasteful number, since it uses less digits than its factorization.

103829040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103829040 is about 10189.6535760545. The cubic root of 103829040 is about 470.0091140529.

The spelling of 103829040 in words is "one hundred three million, eight hundred twenty-nine thousand, forty".