109830549012093 has 280 divisors, whose sum is σ = 208112824097080. Its totient is φ = 57932597281104.

The previous prime is 109830549012013. The next prime is 109830549012137. The reversal of 109830549012093 is 390210945038901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

109830549012093 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 3 + 0 + 549 + 0 + 1 + 2 + 0 + 93 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34645313844729 + 75185235167364 = 5886027^2 + 8670942^2 .

It is not a de Polignac number, because 109830549012093 - 2²⁴ = 109830532234877 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 109830549012093 = 11661³ + 47658³ = 31941³ + 42588³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109830549012013) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 8448503770155 + ... + 8448503770167.

It is an arithmetic number, because the mean of its divisors is an integer number (743260086061).

Almost surely, 2^{109830549012093} is an apocalyptic number.

109830549012093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

109830549012093 is a deficient number, since it is larger than the sum of its proper divisors (98282275084987).

109830549012093 is an frugal number, since it uses more digits than its factorization.

109830549012093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 109830549012093 in words is "one hundred nine trillion, eight hundred thirty billion, five hundred forty-nine million, twelve thousand, ninety-three".