101788435849 has 9 divisors (see below), whose sum is σ = 102765951687. Its totient is φ = 100820140344.

The previous prime is 101788435829. The next prime is 101788435873. The reversal of 101788435849 is 948534887101.

The square root of 101788435849 is 319043.

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

It can be written as a sum of positive squares in only one way, i.e., 70946051449 + 30842384400 = 266357^2 + 175620^2 .

It is not a de Polignac number, because 101788435849 - 2¹¹ = 101788433801 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101788435793 and 101788435802.

It is not an unprimeable number, because it can be changed into a prime (101788435829) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34774224 + ... + 34777150.

Almost surely, 2^101788435849 is an apocalyptic number.

101788435849 is the 319043-rd square number.

101788435849 is the 159522-nd centered octagonal number.

It is an amenable number.

101788435849 is a deficient number, since it is larger than the sum of its proper divisors (977515838).

101788435849 is an frugal number, since it uses more digits than its factorization.

101788435849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 101788435849 in words is "one hundred one billion, seven hundred eighty-eight million, four hundred thirty-five thousand, eight hundred forty-nine".