105011005555590 has 16 divisors (see below), whose sum is σ = 252026413333488. Its totient is φ = 28002934814816.

The previous prime is 105011005555571. The next prime is 105011005555657. The reversal of 105011005555590 is 95555500110501.

It is a super-2 number, since 2×105011005555590² (a number of 29 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 7 ways as a sum of consecutive naturals, for example, 1750183425897 + ... + 1750183425956.

It is an arithmetic number, because the mean of its divisors is an integer number (15751650833343).

Almost surely, 2^{105011005555590} is an apocalyptic number.

105011005555590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105011005555590 is an abundant number, since it is smaller than the sum of its proper divisors (147015407777898).

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

105011005555590 is a wasteful number, since it uses less digits than its factorization.

105011005555590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500366851863.

The product of its (nonzero) digits is 140625, while the sum is 42.

The spelling of 105011005555590 in words is "one hundred five trillion, eleven billion, five million, five hundred fifty-five thousand, five hundred ninety".