106500505600 has 90 divisors (see below), whose sum is σ = 264114209324. Its totient is φ = 42600038400.

The previous prime is 106500505589. The next prime is 106500505603. The reversal of 106500505600 is 6505005601.

It is a super-2 number, since 2×106500505600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106500505603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 279595 + ... + 539605.

Almost surely, 2^106500505600 is an apocalyptic number.

106500505600 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 106500505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132057104662).

106500505600 is an abundant number, since it is smaller than the sum of its proper divisors (157613703724).

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

106500505600 is an frugal number, since it uses more digits than its factorization.

106500505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260049 (or 260018 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 106500505600 in words is "one hundred six billion, five hundred million, five hundred five thousand, six hundred".