10240030101105 has 120 divisors (see below), whose sum is σ = 22089449238120. Its totient is φ = 4519737169920.

The previous prime is 10240030101101. The next prime is 10240030101107. The reversal of 10240030101105 is 50110103004201.

10240030101105 is a `hidden beast` number, since 10 + 240 + 0 + 301 + 0 + 110 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4126472202384 + 6113557898721 = 2031372^2 + 2472561^2 .

It is not a de Polignac number, because 10240030101105 - 2² = 10240030101101 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10240030101101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8321056 + ... + 9472065.

It is an arithmetic number, because the mean of its divisors is an integer number (184078743651).

Almost surely, 2^{10240030101105} is an apocalyptic number.

10240030101105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10240030101105 is an abundant number, since it is smaller than the sum of its proper divisors (11849419137015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10240030101105 is a wasteful number, since it uses less digits than its factorization.

10240030101105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17793181 (or 17793165 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10240030101105 its reverse (50110103004201), we get a palindrome (60350133105306).

The spelling of 10240030101105 in words is "ten trillion, two hundred forty billion, thirty million, one hundred one thousand, one hundred five".