100507386841 has 3 divisors (see below), whose sum is σ = 100507703871. Its totient is φ = 100507069812.

The previous prime is 100507386821. The next prime is 100507386851. The reversal of 100507386841 is 148683705001.

The square root of 100507386841 is 317029.

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, and also an emirpimes, since its reverse is a distinct semiprime: 148683705001 = 13 ⋅11437208077.

It can be written as a sum of positive squares in only one way, i.e., 34961146441 + 65546240400 = 186979^2 + 256020^2 .

It is not a de Polignac number, because 100507386841 - 2¹⁷ = 100507255769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100507386821) 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, 158515 + ... + 475543.

It is an arithmetic number, because the mean of its divisors is an integer number (33502567957).

Almost surely, 2^100507386841 is an apocalyptic number.

100507386841 is the 317029-th square number.

100507386841 is the 158515-th centered octagonal number.

It is an amenable number.

100507386841 is a deficient number, since it is larger than the sum of its proper divisors (317030).

100507386841 is an frugal number, since it uses more digits than its factorization.

100507386841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634058 (or 317029 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 100507386841 in words is "one hundred billion, five hundred seven million, three hundred eighty-six thousand, eight hundred forty-one".