106050510500 has 72 divisors (see below), whose sum is σ = 254584474872. Its totient is φ = 38563800000.

The previous prime is 106050510473. The next prime is 106050510551. The reversal of 106050510500 is 5015050601.

It can be written as a sum of positive squares in 4 ways, for example, as 5451164224 + 100599346276 = 73832^2 + 317174^2 .

It is a super-2 number, since 2×106050510500² (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 23 ways as a sum of consecutive naturals, for example, 815951 + ... + 936950.

Almost surely, 2^106050510500 is an apocalyptic number.

106050510500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106050510500 is an abundant number, since it is smaller than the sum of its proper divisors (148533964372).

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

106050510500 is a wasteful number, since it uses less digits than its factorization.

106050510500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752942 (or 1752919 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 106050510500 in words is "one hundred six billion, fifty million, five hundred ten thousand, five hundred".