103481856 has 120 divisors (see below), whose sum is σ = 316463004. Its totient is φ = 32440320.

The previous prime is 103481849. The next prime is 103481867. The reversal of 103481856 is 658184301.

It can be written as a sum of positive squares in 2 ways, for example, as 87609600 + 15872256 = 9360^2 + 3984^2 .

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 103481856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77676 + ... + 78996.

Almost surely, 2^103481856 is an apocalyptic number.

103481856 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 103481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158231502).

103481856 is an abundant number, since it is smaller than the sum of its proper divisors (212981148).

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

103481856 is a wasteful number, since it uses less digits than its factorization.

103481856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 103481856 is about 10172.6032066527. The cubic root of 103481856 is about 469.4846562097.

The spelling of 103481856 in words is "one hundred three million, four hundred eighty-one thousand, eight hundred fifty-six".