103791575889 has 27 divisors (see below), whose sum is σ = 159284030737. Its totient is φ = 65113816704.

The previous prime is 103791575777. The next prime is 103791575903. The reversal of 103791575889 is 988575197301.

The square root of 103791575889 is 322167.

It is a perfect power (a square), and thus also a powerful number.

103791575889 is a `hidden beast` number, since 1 + 0 + 37 + 9 + 15 + 7 + 588 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11144391489 + 92647184400 = 105567^2 + 304380^2 .

It is not a de Polignac number, because 103791575889 - 2²⁵ = 103758021457 is a prime.

It is a super-2 number, since 2×103791575889² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103791575089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16427359 + ... + 16433675.

Almost surely, 2^103791575889 is an apocalyptic number.

103791575889 is the 322167-th square number.

103791575889 is the 161084-th centered octagonal number.

It is an amenable number.

103791575889 is a deficient number, since it is larger than the sum of its proper divisors (55492454848).

103791575889 is an frugal number, since it uses more digits than its factorization.

103791575889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12674 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 63.

The spelling of 103791575889 in words is "one hundred three billion, seven hundred ninety-one million, five hundred seventy-five thousand, eight hundred eighty-nine".