103506964729 has 16 divisors (see below), whose sum is σ = 119470067200. Its totient is φ = 87839204544.

The previous prime is 103506964679. The next prime is 103506964763. The reversal of 103506964729 is 927469605301.

It is a happy number.

It is not a de Polignac number, because 103506964729 - 2¹⁷ = 103506833657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103506962729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961387 + ... + 1063615.

It is an arithmetic number, because the mean of its divisors is an integer number (7466879200).

Almost surely, 2^103506964729 is an apocalyptic number.

It is an amenable number.

103506964729 is a deficient number, since it is larger than the sum of its proper divisors (15963102471).

103506964729 is a wasteful number, since it uses less digits than its factorization.

103506964729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103672.

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 103506964729 in words is "one hundred three billion, five hundred six million, nine hundred sixty-four thousand, seven hundred twenty-nine".