103337856 has 80 divisors (see below), whose sum is σ = 307562640. Its totient is φ = 34442496.

The previous prime is 103337837. The next prime is 103337887. The reversal of 103337856 is 658733301.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103337856.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 5385 + ... + 15351.

It is an arithmetic number, because the mean of its divisors is an integer number (3844533).

Almost surely, 2^103337856 is an apocalyptic number.

103337856 is a gapful number since it is divisible by the number (16) 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 103337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153781320).

103337856 is an abundant number, since it is smaller than the sum of its proper divisors (204224784).

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

103337856 is an frugal number, since it uses more digits than its factorization.

103337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 103337856 is about 10165.5229083407. The cubic root of 103337856 is about 469.2667849284.

The spelling of 103337856 in words is "one hundred three million, three hundred thirty-seven thousand, eight hundred fifty-six".