101788465806729 has 135 divisors (see below), whose sum is σ = 167919033356613. Its totient is φ = 61419413585088.

The previous prime is 101788465806697. The next prime is 101788465806739. The reversal of 101788465806729 is 927608564887101.

It is a happy number.

The square root of 101788465806729 is 10089027.

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

101788465806729 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 8 + 8 + 465 + 80 + 67 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2641837389129 + 99146628417600 = 1625373^2 + 9957240^2 .

It is not a de Polignac number, because 101788465806729 - 2⁵ = 101788465806697 is a prime.

It is a super-3 number, since 3×101788465806729³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101788465806739) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 62562055614 + ... + 62562057240.

Almost surely, 2^{101788465806729} is an apocalyptic number.

101788465806729 is the 10089027-th square number.

101788465806729 is the 5044514-th centered octagonal number.

It is an amenable number.

101788465806729 is a deficient number, since it is larger than the sum of its proper divisors (66130567549884).

101788465806729 is an frugal number, since it uses more digits than its factorization.

101788465806729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 101788465806729 in words is "one hundred one trillion, seven hundred eighty-eight billion, four hundred sixty-five million, eight hundred six thousand, seven hundred twenty-nine".