103085367 has 48 divisors (see below), whose sum is σ = 179240832. Its totient is φ = 52073280.

The previous prime is 103085363. The next prime is 103085369. The reversal of 103085367 is 763580301.

It is a happy number.

It is not a de Polignac number, because 103085367 - 2² = 103085363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103085363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58968 + ... + 60690.

It is an arithmetic number, because the mean of its divisors is an integer number (3734184).

Almost surely, 2^103085367 is an apocalyptic number.

103085367 is a deficient number, since it is larger than the sum of its proper divisors (76155465).

103085367 is a wasteful number, since it uses less digits than its factorization.

103085367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 103085367 is about 10153.0964242442. The cubic root of 103085367 is about 468.8842812448.

The spelling of 103085367 in words is "one hundred three million, eighty-five thousand, three hundred sixty-seven".