106510200 has 96 divisors (see below), whose sum is σ = 347596800. Its totient is φ = 26904960.

The previous prime is 106510189. The next prime is 106510207. The reversal of 106510200 is 2015601.

It is a super-2 number, since 2×106510200² = 22688845408080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106510200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106510207) 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, 6729 + ... + 16071.

It is an arithmetic number, because the mean of its divisors is an integer number (3620800).

Almost surely, 2^106510200 is an apocalyptic number.

106510200 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 106510200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173798400).

106510200 is an abundant number, since it is smaller than the sum of its proper divisors (241086600).

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

106510200 is a wasteful number, since it uses less digits than its factorization.

106510200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9381 (or 9372 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 106510200 is about 10320.3779000577. The cubic root of 106510200 is about 474.0204374389.

Adding to 106510200 its reverse (2015601), we get a palindrome (108525801).

The spelling of 106510200 in words is "one hundred six million, five hundred ten thousand, two hundred".