109793485201 has 9 divisors (see below), whose sum is σ = 110904264891. Its totient is φ = 108693731232.

The previous prime is 109793485183. The next prime is 109793485283. The reversal of 109793485201 is 102584397901.

It is a happy number.

The square root of 109793485201 is 331351.

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., 99014062225 + 10779422976 = 314665^2 + 103824^2 .

It is not a de Polignac number, because 109793485201 - 2¹⁷ = 109793354129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109793485301) 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, 34127545 + ... + 34130761.

It is an arithmetic number, because the mean of its divisors is an integer number (12322696099).

Almost surely, 2^109793485201 is an apocalyptic number.

109793485201 is the 331351-st square number.

109793485201 is the 165676-th centered octagonal number.

It is an amenable number.

109793485201 is a deficient number, since it is larger than the sum of its proper divisors (1110779690).

109793485201 is an frugal number, since it uses more digits than its factorization.

109793485201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 109793485201 by its sum of digits (49), we get a square (5379880774849 = 2319457²).

The spelling of 109793485201 in words is "one hundred nine billion, seven hundred ninety-three million, four hundred eighty-five thousand, two hundred one".