103084137 has 48 divisors (see below), whose sum is σ = 173147520. Its totient is φ = 60141312.

The previous prime is 103084133. The next prime is 103084147. The reversal of 103084137 is 731480301.

It is not a de Polignac number, because 103084137 - 2² = 103084133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 103084137.

It is not an unprimeable number, because it can be changed into a prime (103084133) 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, 912193 + ... + 912305.

It is an arithmetic number, because the mean of its divisors is an integer number (3607240).

Almost surely, 2^103084137 is an apocalyptic number.

It is an amenable number.

103084137 is a deficient number, since it is larger than the sum of its proper divisors (70063383).

103084137 is a wasteful number, since it uses less digits than its factorization.

103084137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103084137 is about 10153.0358514092. The cubic root of 103084137 is about 468.8824163504.

The spelling of 103084137 in words is "one hundred three million, eighty-four thousand, one hundred thirty-seven".