106240200 has 96 divisors (see below), whose sum is σ = 359307360. Its totient is φ = 25753600.

The previous prime is 106240177. The next prime is 106240201. The reversal of 106240200 is 2042601.

It is a super-2 number, since 2×106240200² = 22573960192080000, 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 106240200.

It is not an unprimeable number, because it can be changed into a prime (106240201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449 + ... + 14648.

It is an arithmetic number, because the mean of its divisors is an integer number (3742785).

Almost surely, 2^106240200 is an apocalyptic number.

106240200 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 106240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179653680).

106240200 is an abundant number, since it is smaller than the sum of its proper divisors (253067160).

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

106240200 is a wasteful number, since it uses less digits than its factorization.

106240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16127 (or 16118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 106240200 is about 10307.2886832571. The cubic root of 106240200 is about 473.6195562178.

Adding to 106240200 its reverse (2042601), we get a palindrome (108282801).

The spelling of 106240200 in words is "one hundred six million, two hundred forty thousand, two hundred".