1105415104101 has 64 divisors (see below), whose sum is σ = 1861386504192. Its totient is φ = 566834400000.

The previous prime is 1105415104093. The next prime is 1105415104111. The reversal of 1105415104101 is 1014015145011.

It is not a de Polignac number, because 1105415104101 - 2³ = 1105415104093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105415104111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7650991 + ... + 7794131.

It is an arithmetic number, because the mean of its divisors is an integer number (29084164128).

Almost surely, 2^{1105415104101} is an apocalyptic number.

1105415104101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1105415104101 is a deficient number, since it is larger than the sum of its proper divisors (755971400091).

1105415104101 is a wasteful number, since it uses less digits than its factorization.

1105415104101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143594.

The product of its (nonzero) digits is 400, while the sum is 24.

The spelling of 1105415104101 in words is "one trillion, one hundred five billion, four hundred fifteen million, one hundred four thousand, one hundred one".