106053246206200 has 96 divisors (see below), whose sum is σ = 251408084031360. Its totient is φ = 41590752652800.

The previous prime is 106053246206197. The next prime is 106053246206207. The reversal of 106053246206200 is 2602642350601.

It is a super-2 number, since 2×106053246206200² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106053246206200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106053246206207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11016217 + ... + 18260983.

It is an arithmetic number, because the mean of its divisors is an integer number (2618834208660).

Almost surely, 2^{106053246206200} is an apocalyptic number.

106053246206200 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 106053246206200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125704042015680).

106053246206200 is an abundant number, since it is smaller than the sum of its proper divisors (145354837825160).

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

106053246206200 is a wasteful number, since it uses less digits than its factorization.

106053246206200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246217 (or 7246208 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 106053246206200 its reverse (2602642350601), we get a palindrome (108655888556801).

The spelling of 106053246206200 in words is "one hundred six trillion, fifty-three billion, two hundred forty-six million, two hundred six thousand, two hundred".