109257181341 has 128 divisors (see below), whose sum is σ = 193743470592. Its totient is φ = 53125632000.

The previous prime is 109257181321. The next prime is 109257181361. The reversal of 109257181341 is 143181752901.

It is an interprime number because it is at equal distance from previous prime (109257181321) and next prime (109257181361).

It is not a de Polignac number, because 109257181341 - 2¹¹ = 109257179293 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 109257181293 and 109257181302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109257181321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25579036 + ... + 25583306.

It is an arithmetic number, because the mean of its divisors is an integer number (1513620864).

Almost surely, 2^109257181341 is an apocalyptic number.

109257181341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

109257181341 is a deficient number, since it is larger than the sum of its proper divisors (84486289251).

109257181341 is a wasteful number, since it uses less digits than its factorization.

109257181341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443.

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 109257181341 in words is "one hundred nine billion, two hundred fifty-seven million, one hundred eighty-one thousand, three hundred forty-one".