109528564401 has 27 divisors (see below), whose sum is σ = 159855372313. Its totient is φ = 72266460360.

The previous prime is 109528564373. The next prime is 109528564417. The reversal of 109528564401 is 104465825901.

The square root of 109528564401 is 330951.

It is a perfect power (a square), and thus also a powerful number.

109528564401 is a `hidden beast` number, since 109 + 5 + 2 + 85 + 64 + 401 = 666.

It is not a de Polignac number, because 109528564401 - 2⁹ = 109528563889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109528564451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106234756 + ... + 106235786.

Almost surely, 2^109528564401 is an apocalyptic number.

109528564401 is the 330951-st square number.

109528564401 is the 165476-th centered octagonal number.

It is an amenable number.

109528564401 is a deficient number, since it is larger than the sum of its proper divisors (50326807912).

109528564401 is an frugal number, since it uses more digits than its factorization.

109528564401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 109528564401 in words is "one hundred nine billion, five hundred twenty-eight million, five hundred sixty-four thousand, four hundred one".