100768788481 has 27 divisors (see below), whose sum is σ = 108988355203. Its totient is φ = 93149887040.

The previous prime is 100768788451. The next prime is 100768788509. The reversal of 100768788481 is 184887867001.

The square root of 100768788481 is 317441.

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., 78453209025 + 22315579456 = 280095^2 + 149384^2 .

It is not a de Polignac number, because 100768788481 - 2¹⁹ = 100768264193 is a prime.

It is a super-2 number, since 2×100768788481² (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 (100768788451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 383151156 + ... + 383151418.

Almost surely, 2^100768788481 is an apocalyptic number.

100768788481 is the 317441-st square number.

100768788481 is the 158721-st centered octagonal number.

It is an amenable number.

100768788481 is a deficient number, since it is larger than the sum of its proper divisors (8219566722).

100768788481 is an frugal number, since it uses more digits than its factorization.

100768788481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 58.

It can be divided in two parts, 100768 and 788481, that added together give a square (889249 = 943²).

The spelling of 100768788481 in words is "one hundred billion, seven hundred sixty-eight million, seven hundred eighty-eight thousand, four hundred eighty-one".