103927872 has 112 divisors (see below), whose sum is σ = 299110400. Its totient is φ = 31726080.

The previous prime is 103927867. The next prime is 103927913. The reversal of 103927872 is 278729301.

It is a super-3 number, since 3×103927872³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103927872.

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, 112629 + ... + 113547.

Almost surely, 2^103927872 is an apocalyptic number.

103927872 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 103927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149555200).

103927872 is an abundant number, since it is smaller than the sum of its proper divisors (195182528).

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

103927872 is a wasteful number, since it uses less digits than its factorization.

103927872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 103927872 is about 10194.5020476726. The cubic root of 103927872 is about 470.1581963321.

The spelling of 103927872 in words is "one hundred three million, nine hundred twenty-seven thousand, eight hundred seventy-two".