103929600 has 108 divisors (see below), whose sum is σ = 343052696. Its totient is φ = 27709440.

The previous prime is 103929599. The next prime is 103929607. The reversal of 103929600 is 6929301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103929607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16494 + ... + 21906.

Almost surely, 2^103929600 is an apocalyptic number.

103929600 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 103929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171526348).

103929600 is an abundant number, since it is smaller than the sum of its proper divisors (239123096).

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

103929600 is an equidigital number, since it uses as much as digits as its factorization.

103929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 103929600 is about 10194.5867988850. The cubic root of 103929600 is about 470.1608020779.

The spelling of 103929600 in words is "one hundred three million, nine hundred twenty-nine thousand, six hundred".