103084821 has 48 divisors (see below), whose sum is σ = 186451200. Its totient is φ = 53512704.

The previous prime is 103084819. The next prime is 103084837. The reversal of 103084821 is 128480301.

It is not a de Polignac number, because 103084821 - 2¹ = 103084819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103084871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29400 + ... + 32718.

It is an arithmetic number, because the mean of its divisors is an integer number (3884400).

Almost surely, 2^103084821 is an apocalyptic number.

It is an amenable number.

103084821 is a deficient number, since it is larger than the sum of its proper divisors (83366379).

103084821 is a wasteful number, since it uses less digits than its factorization.

103084821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 103084821 is about 10153.0695358596. The cubic root of 103084821 is about 468.8834534155.

It can be divided in two parts, 10308 and 4821, that added together give a square (15129 = 123²).

The spelling of 103084821 in words is "one hundred three million, eighty-four thousand, eight hundred twenty-one".