100792915441 has 9 divisors (see below), whose sum is σ = 102549282763. Its totient is φ = 99066147160.

The previous prime is 100792915397. The next prime is 100792915471. The reversal of 100792915441 is 144519297001.

The square root of 100792915441 is 317479.

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., 32786707041 + 68006208400 = 181071^2 + 260780^2 .

It is not a de Polignac number, because 100792915441 - 2¹³ = 100792907249 is a prime.

It is a super-3 number, since 3×100792915441³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100792915471) 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, 18728571 + ... + 18733951.

Almost surely, 2^100792915441 is an apocalyptic number.

100792915441 is the 317479-th square number.

100792915441 is the 158740-th centered octagonal number.

It is an amenable number.

100792915441 is a deficient number, since it is larger than the sum of its proper divisors (1756367322).

100792915441 is an frugal number, since it uses more digits than its factorization.

100792915441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 100792915441 in words is "one hundred billion, seven hundred ninety-two million, nine hundred fifteen thousand, four hundred forty-one".