100541628889 has 9 divisors (see below), whose sum is σ = 108874984959. Its totient is φ = 92803852440.

The previous prime is 100541628839. The next prime is 100541628893. The reversal of 100541628889 is 988826145001.

It is a happy number.

The square root of 100541628889 is 317083.

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., 14873022025 + 85668606864 = 121955^2 + 292692^2 .

It is not a de Polignac number, because 100541628889 - 2⁹ = 100541628377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100541628829) 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, 4109884 + ... + 4134274.

It is an arithmetic number, because the mean of its divisors is an integer number (12097220551).

Almost surely, 2^100541628889 is an apocalyptic number.

100541628889 is the 317083-rd square number.

100541628889 is the 158542-nd centered octagonal number.

It is an amenable number.

100541628889 is a deficient number, since it is larger than the sum of its proper divisors (8333356070).

100541628889 is an frugal number, since it uses more digits than its factorization.

100541628889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48808 (or 24404 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 100541628889 in words is "one hundred billion, five hundred forty-one million, six hundred twenty-eight thousand, eight hundred eighty-nine".