100362873601 has 3 divisors (see below), whose sum is σ = 100363190403. Its totient is φ = 100362556800.

The previous prime is 100362873587. The next prime is 100362873607. The reversal of 100362873601 is 106378263001.

The square root of 100362873601 is 316801.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 4956019201 + 95406854400 = 70399^2 + 308880^2 .

It is not a de Polignac number, because 100362873601 - 2¹⁵ = 100362840833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100362873607) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 158401 + ... + 475201.

It is an arithmetic number, because the mean of its divisors is an integer number (33454396801).

Almost surely, 2^100362873601 is an apocalyptic number.

100362873601 is the 316801-st square number.

100362873601 is the 158401-st centered octagonal number.

It is an amenable number.

100362873601 is a deficient number, since it is larger than the sum of its proper divisors (316802).

100362873601 is an frugal number, since it uses more digits than its factorization.

100362873601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633602 (or 316801 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 100362873601 in words is "one hundred billion, three hundred sixty-two million, eight hundred seventy-three thousand, six hundred one".