106005116500 has 24 divisors (see below), whose sum is σ = 231515175528. Its totient is φ = 42402046400.

The previous prime is 106005116491. The next prime is 106005116501. The reversal of 106005116500 is 5611500601.

It can be written as a sum of positive squares in 4 ways, for example, as 17151045444 + 88854071056 = 130962^2 + 298084^2 .

It is a super-2 number, since 2×106005116500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005116501) 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, 106004617 + ... + 106005616.

It is an arithmetic number, because the mean of its divisors is an integer number (9646465647).

Almost surely, 2^106005116500 is an apocalyptic number.

106005116500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005116500 is an abundant number, since it is smaller than the sum of its proper divisors (125510059028).

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

106005116500 is a wasteful number, since it uses less digits than its factorization.

106005116500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212010252 (or 212010240 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 106005116500 in words is "one hundred six billion, five million, one hundred sixteen thousand, five hundred".