105106110000555 has 32 divisors (see below), whose sum is σ = 179445759575040. Its totient is φ = 52378762233600.

The previous prime is 105106110000527. The next prime is 105106110000559. The reversal of 105106110000555 is 555000011601501.

It is not a de Polignac number, because 105106110000555 - 2⁵ = 105106110000523 is a prime.

It is a super-2 number, since 2×105106110000555² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105106110000559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525961171 + ... + 2526002780.

It is an arithmetic number, because the mean of its divisors is an integer number (5607679986720).

Almost surely, 2^{105106110000555} is an apocalyptic number.

105106110000555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105106110000555 is a deficient number, since it is larger than the sum of its proper divisors (74339649574485).

105106110000555 is a wasteful number, since it uses less digits than its factorization.

105106110000555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051964051.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105106110000555 in words is "one hundred five trillion, one hundred six billion, one hundred ten million, five hundred fifty-five", and thus it is an aban number.