106882820500 has 96 divisors (see below), whose sum is σ = 242184852000. Its totient is φ = 41158656000.

The previous prime is 106882820497. The next prime is 106882820507. The reversal of 106882820500 is 5028288601.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 48945367696 + 57937452804 = 221236^2 + 240702^2 .

It is a super-2 number, since 2×106882820500² (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 (106882820507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5049940 + ... + 5071060.

It is an arithmetic number, because the mean of its divisors is an integer number (2522758875).

Almost surely, 2^106882820500 is an apocalyptic number.

106882820500 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 106882820500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121092426000).

106882820500 is an abundant number, since it is smaller than the sum of its proper divisors (135302031500).

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

106882820500 is a wasteful number, since it uses less digits than its factorization.

106882820500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21518 (or 21506 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 106882820500 in words is "one hundred six billion, eight hundred eighty-two million, eight hundred twenty thousand, five hundred".