100889790560881 has 9 divisors (see below), whose sum is σ = 117361674891531. Its totient is φ = 86476903071552.

The previous prime is 100889790560869. The next prime is 100889790560939. The reversal of 100889790560881 is 188065097988001.

The square root of 100889790560881 is 10044391.

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., 97636038399025 + 3253752161856 = 9881095^2 + 1803816^2 .

It is not a de Polignac number, because 100889790560881 - 2¹⁵ = 100889790528113 is a prime.

It is a super-2 number, since 2×100889790560881² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100889790560881.

It is not an unprimeable number, because it can be changed into a prime (100889790560821) 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, 69593281 + ... + 71028193.

It is an arithmetic number, because the mean of its divisors is an integer number (13040186099059).

Almost surely, 2^{100889790560881} is an apocalyptic number.

100889790560881 is the 10044391-st square number.

100889790560881 is the 5022196-th centered octagonal number.

It is an amenable number.

100889790560881 is a deficient number, since it is larger than the sum of its proper divisors (16471884330650).

100889790560881 is an frugal number, since it uses more digits than its factorization.

100889790560881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869840 (or 1434920 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 70.

The spelling of 100889790560881 in words is "one hundred trillion, eight hundred eighty-nine billion, seven hundred ninety million, five hundred sixty thousand, eight hundred eighty-one".