105005100500 has 24 divisors (see below), whose sum is σ = 229331140584. Its totient is φ = 42002040000.

The previous prime is 105005100491. The next prime is 105005100509. The reversal of 105005100500 is 5001500501.

It is an interprime number because it is at equal distance from previous prime (105005100491) and next prime (105005100509).

It can be written as a sum of positive squares in 4 ways, for example, as 1853646916 + 103151453584 = 43054^2 + 321172^2 .

It is a super-2 number, since 2×105005100500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005100509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105004601 + ... + 105005600.

It is an arithmetic number, because the mean of its divisors is an integer number (9555464191).

Almost surely, 2^105005100500 is an apocalyptic number.

105005100500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005100500 is an abundant number, since it is smaller than the sum of its proper divisors (124326040084).

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

105005100500 is a wasteful number, since it uses less digits than its factorization.

105005100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210010220 (or 210010208 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The spelling of 105005100500 in words is "one hundred five billion, five million, one hundred thousand, five hundred".