100468079089 has 9 divisors (see below), whose sum is σ = 116873611851. Its totient is φ = 86113594560.

The previous prime is 100468079077. The next prime is 100468079111. The reversal of 100468079089 is 980970864001.

It is a happy number.

The square root of 100468079089 is 316967.

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., 86769717489 + 13698361600 = 294567^2 + 117040^2 .

It is not a de Polignac number, because 100468079089 - 2¹³ = 100468070897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100468079009) 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, 2196129 + ... + 2241409.

Almost surely, 2^100468079089 is an apocalyptic number.

100468079089 is the 316967-th square number.

100468079089 is the 158484-th centered octagonal number.

It is an amenable number.

100468079089 is a deficient number, since it is larger than the sum of its proper divisors (16405532762).

100468079089 is an frugal number, since it uses more digits than its factorization.

100468079089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90576 (or 45288 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 100468079089 in words is "one hundred billion, four hundred sixty-eight million, seventy-nine thousand, eighty-nine".