106341300 has 216 divisors, whose sum is σ = 367294200. Its totient is φ = 25574400.

The previous prime is 106341283. The next prime is 106341311. The reversal of 106341300 is 3143601.

106341300 is a `hidden beast` number, since 1 + 0 + 634 + 1 + 30 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 95765796 + 10575504 = 9786^2 + 3252^2 .

It is a super-2 number, since 2×106341300² = 22616944171380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 713626 + ... + 713774.

Almost surely, 2^106341300 is an apocalyptic number.

106341300 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 106341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183647100).

106341300 is an abundant number, since it is smaller than the sum of its proper divisors (260952900).

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

106341300 is a wasteful number, since it uses less digits than its factorization.

106341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106341300 is about 10312.1918135768. The cubic root of 106341300 is about 473.7697434238.

Adding to 106341300 its reverse (3143601), we get a palindrome (109484901).

The spelling of 106341300 in words is "one hundred six million, three hundred forty-one thousand, three hundred".