106306720 has 48 divisors (see below), whose sum is σ = 270474120. Its totient is φ = 39250944.

The previous prime is 106306703. The next prime is 106306723. The reversal of 106306720 is 27603601.

It can be written as a sum of positive squares in 4 ways, for example, as 92852496 + 13454224 = 9636^2 + 3668^2 .

It is a super-2 number, since 2×106306720² = 22602237434316800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106306723) 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 7 ways as a sum of consecutive naturals, for example, 23475 + ... + 27634.

Almost surely, 2^106306720 is an apocalyptic number.

106306720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106306720 is an abundant number, since it is smaller than the sum of its proper divisors (164167400).

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

106306720 is a wasteful number, since it uses less digits than its factorization.

106306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51137 (or 51129 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 106306720 is about 10310.5150210841. The cubic root of 106306720 is about 473.7183844697.

The spelling of 106306720 in words is "one hundred six million, three hundred six thousand, seven hundred twenty".