106300736 has 56 divisors (see below), whose sum is σ = 219943680. Its totient is φ = 50918400.

The previous prime is 106300729. The next prime is 106300739. The reversal of 106300736 is 637003601.

It is a super-2 number, since 2×106300736² = 22599692948283392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106300739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259700 + ... + 260108.

Almost surely, 2^106300736 is an apocalyptic number.

106300736 is a gapful number since it is divisible by the number (16) 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 106300736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109971840).

106300736 is an abundant number, since it is smaller than the sum of its proper divisors (113642944).

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

106300736 is a wasteful number, since it uses less digits than its factorization.

106300736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 106300736 is about 10310.2248278105. The cubic root of 106300736 is about 473.7094957748.

The spelling of 106300736 in words is "one hundred six million, three hundred thousand, seven hundred thirty-six".