103137643 has 16 divisors (see below), whose sum is σ = 124472320. Its totient is φ = 83483136.

The previous prime is 103137631. The next prime is 103137679. The reversal of 103137643 is 346731301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103137643 - 2¹³ = 103129451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103137743) 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 15 ways as a sum of consecutive naturals, for example, 47755 + ... + 49867.

It is an arithmetic number, because the mean of its divisors is an integer number (7779520).

Almost surely, 2^103137643 is an apocalyptic number.

103137643 is a deficient number, since it is larger than the sum of its proper divisors (21334677).

103137643 is a wasteful number, since it uses less digits than its factorization.

103137643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 103137643 is about 10155.6704850049. The cubic root of 103137643 is about 468.9635270621.

Adding to 103137643 its reverse (346731301), we get a palindrome (449868944).

It can be divided in two parts, 10313 and 7643, that added together give a square (17956 = 134²).

The spelling of 103137643 in words is "one hundred three million, one hundred thirty-seven thousand, six hundred forty-three".