105555150500 has 96 divisors (see below), whose sum is σ = 246511950048. Its totient is φ = 39344640000.

The previous prime is 105555150479. The next prime is 105555150529. The reversal of 105555150500 is 5051555501.

It can be written as a sum of positive squares in 16 ways, for example, as 8500471204 + 97054679296 = 92198^2 + 311536^2 .

It is a super-2 number, since 2×105555150500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797024 + ... + 919976.

It is an arithmetic number, because the mean of its divisors is an integer number (2567832813).

Almost surely, 2^105555150500 is an apocalyptic number.

105555150500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105555150500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123255975024).

105555150500 is an abundant number, since it is smaller than the sum of its proper divisors (140956799548).

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

105555150500 is a wasteful number, since it uses less digits than its factorization.

105555150500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123090 (or 123078 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 105555150500 in words is "one hundred five billion, five hundred fifty-five million, one hundred fifty thousand, five hundred".