106342220800 has 132 divisors (see below), whose sum is σ = 265939910676. Its totient is φ = 42159308800.

The previous prime is 106342220771. The next prime is 106342220813. The reversal of 106342220800 is 8022243601.

It can be written as a sum of positive squares in 6 ways, for example, as 57646089216 + 48696131584 = 240096^2 + 220672^2 .

It is a super-2 number, since 2×106342220800² (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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2874420 + ... + 2911180.

It is an arithmetic number, because the mean of its divisors is an integer number (2014696293).

Almost surely, 2^106342220800 is an apocalyptic number.

106342220800 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 106342220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132969955338).

106342220800 is an abundant number, since it is smaller than the sum of its proper divisors (159597689876).

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

106342220800 is a wasteful number, since it uses less digits than its factorization.

106342220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36904 (or 36881 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 106342220800 in words is "one hundred six billion, three hundred forty-two million, two hundred twenty thousand, eight hundred".