109097429401 has 27 divisors (see below), whose sum is σ = 114576854301. Its totient is φ = 103877714304.

The previous prime is 109097429387. The next prime is 109097429447. The reversal of 109097429401 is 104924790901.

The square root of 109097429401 is 330299.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4186219401 + 104911210000 = 64701^2 + 323900^2 .

It is not a de Polignac number, because 109097429401 - 2²⁷ = 108963211673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109097429461) 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, 965463921 + ... + 965464033.

Almost surely, 2^109097429401 is an apocalyptic number.

109097429401 is the 330299-th square number.

109097429401 is the 165150-th centered octagonal number.

It is an amenable number.

109097429401 is a deficient number, since it is larger than the sum of its proper divisors (5479424900).

109097429401 is an frugal number, since it uses more digits than its factorization.

109097429401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 109097429401 in words is "one hundred nine billion, ninety-seven million, four hundred twenty-nine thousand, four hundred one".