106300600 has 72 divisors (see below), whose sum is σ = 287526240. Its totient is φ = 36442560.

The previous prime is 106300559. The next prime is 106300603. The reversal of 106300600 is 6003601.

It is a happy number.

It is a super-2 number, since 2×106300600² = 22599635120720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106300603) 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 17 ways as a sum of consecutive naturals, for example, 4377 + ... + 15223.

It is an arithmetic number, because the mean of its divisors is an integer number (3993420).

Almost surely, 2^106300600 is an apocalyptic number.

106300600 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 106300600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143763120).

106300600 is an abundant number, since it is smaller than the sum of its proper divisors (181225640).

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

106300600 is a wasteful number, since it uses less digits than its factorization.

106300600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 106300600 is about 10310.2182324139. The cubic root of 106300600 is about 473.7092937551.

The spelling of 106300600 in words is "one hundred six million, three hundred thousand, six hundred".