105005100105550 has 24 divisors (see below), whose sum is σ = 195460771743432. Its totient is φ = 41969505516000.

The previous prime is 105005100105547. The next prime is 105005100105551. The reversal of 105005100105550 is 55501001500501.

It is a super-2 number, since 2×105005100105550² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005100105551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813297961 + ... + 813427060.

It is an arithmetic number, because the mean of its divisors is an integer number (8144198822643).

Almost surely, 2^{105005100105550} is an apocalyptic number.

105005100105550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005100105550 is a deficient number, since it is larger than the sum of its proper divisors (90455671637882).

105005100105550 is a wasteful number, since it uses less digits than its factorization.

105005100105550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626726324 (or 1626726319 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 105005100105550 in words is "one hundred five trillion, five billion, one hundred million, one hundred five thousand, five hundred fifty".