103929840 has 240 divisors, whose sum is σ = 422705088. Its totient is φ = 22339584.

The previous prime is 103929821. The next prime is 103929841. The reversal of 103929840 is 48929301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103929795 and 103929804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103929841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85074 + ... + 86286.

Almost surely, 2^103929840 is an apocalyptic number.

103929840 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 103929840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211352544).

103929840 is an abundant number, since it is smaller than the sum of its proper divisors (318775248).

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

103929840 is a wasteful number, since it uses less digits than its factorization.

103929840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103929840 is about 10194.5985698310. The cubic root of 103929840 is about 470.1611639848.

The spelling of 103929840 in words is "one hundred three million, nine hundred twenty-nine thousand, eight hundred forty".