100318526361 has 27 divisors (see below), whose sum is σ = 147073098133. Its totient is φ = 65892717240.

The previous prime is 100318526359. The next prime is 100318526443. The reversal of 100318526361 is 163625813001.

The square root of 100318526361 is 316731.

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

100318526361 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 18 + 5 + 2 + 636 + 1 = 666.

It is not a de Polignac number, because 100318526361 - 2¹ = 100318526359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100318536361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67462960 + ... + 67464446.

Almost surely, 2^100318526361 is an apocalyptic number.

100318526361 is the 316731-st square number.

100318526361 is the 158366-th centered octagonal number.

It is an amenable number.

100318526361 is a deficient number, since it is larger than the sum of its proper divisors (46754571772).

100318526361 is an frugal number, since it uses more digits than its factorization.

100318526361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 100318526361 by its sum of digits (36), we get a square (3611466948996 = 1900386²).

The spelling of 100318526361 in words is "one hundred billion, three hundred eighteen million, five hundred twenty-six thousand, three hundred sixty-one".