106511102200 has 96 divisors (see below), whose sum is σ = 253361908800. Its totient is φ = 41630883840.

The previous prime is 106511102149. The next prime is 106511102227. The reversal of 106511102200 is 2201115601.

It is a super-2 number, since 2×106511102200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1497852 + ... + 1567348.

It is an arithmetic number, because the mean of its divisors is an integer number (2639186550).

Almost surely, 2^106511102200 is an apocalyptic number.

106511102200 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 106511102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126680954400).

106511102200 is an abundant number, since it is smaller than the sum of its proper divisors (146850806600).

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

106511102200 is a wasteful number, since it uses less digits than its factorization.

106511102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69689 (or 69680 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 106511102200 its reverse (2201115601), we get a palindrome (108712217801).

The spelling of 106511102200 in words is "one hundred six billion, five hundred eleven million, one hundred two thousand, two hundred".