100894534321 has 9 divisors (see below), whose sum is σ = 117369697899. Its totient is φ = 86479123584.

The previous prime is 100894534313. The next prime is 100894534333. The reversal of 100894534321 is 123435498001.

It is a happy number.

The square root of 100894534321 is 317639.

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., 56062400625 + 44832133696 = 236775^2 + 211736^2 .

It is not a de Polignac number, because 100894534321 - 2³ = 100894534313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100894534021) 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, 2200785 + ... + 2246161.

Almost surely, 2^100894534321 is an apocalyptic number.

100894534321 is the 317639-th square number.

100894534321 is the 158820-th centered octagonal number.

It is an amenable number.

100894534321 is a deficient number, since it is larger than the sum of its proper divisors (16475163578).

100894534321 is an frugal number, since it uses more digits than its factorization.

100894534321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90768 (or 45384 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 100894534321 in words is "one hundred billion, eight hundred ninety-four million, five hundred thirty-four thousand, three hundred twenty-one".