105505511405 has 32 divisors (see below), whose sum is σ = 148385571840. Its totient is φ = 70513274880.

The previous prime is 105505511389. The next prime is 105505511411. The reversal of 105505511405 is 504115505501.

It is not a de Polignac number, because 105505511405 - 2⁴ = 105505511389 is a prime.

It is a super-2 number, since 2×105505511405² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263381 + ... + 529509.

It is an arithmetic number, because the mean of its divisors is an integer number (4637049120).

Almost surely, 2^105505511405 is an apocalyptic number.

It is an amenable number.

105505511405 is a deficient number, since it is larger than the sum of its proper divisors (42880060435).

105505511405 is a wasteful number, since it uses less digits than its factorization.

105505511405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266429.

The product of its (nonzero) digits is 12500, while the sum is 32.

The spelling of 105505511405 in words is "one hundred five billion, five hundred five million, five hundred eleven thousand, four hundred five".