109181601 has 33 divisors (see below), whose sum is σ = 167668689. Its totient is φ = 71094996.

The previous prime is 109181573. The next prime is 109181609. The reversal of 109181601 is 106181901.

The square root of 109181601 is 10449.

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

It is not a de Polignac number, because 109181601 - 2¹³ = 109173409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

109181601 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109181609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2539086 + ... + 2539128.

Almost surely, 2^109181601 is an apocalyptic number.

109181601 is the 10449-th square number.

109181601 is the 5225-th centered octagonal number.

It is an amenable number.

109181601 is a deficient number, since it is larger than the sum of its proper divisors (58487088).

109181601 is an frugal number, since it uses more digits than its factorization.

109181601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The cubic root of 109181601 is about 477.9507558847.

The spelling of 109181601 in words is "one hundred nine million, one hundred eighty-one thousand, six hundred one".