106307460 has 216 divisors, whose sum is σ = 397739160. Its totient is φ = 22837248.

The previous prime is 106307447. The next prime is 106307471. The reversal of 106307460 is 64703601.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 99082116 = 2688^2 + 9954^2 .

It is a super-2 number, since 2×106307460² = 22602552103303200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149586 + ... + 150294.

It is an arithmetic number, because the mean of its divisors is an integer number (1841385).

Almost surely, 2^106307460 is an apocalyptic number.

106307460 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 106307460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198869580).

106307460 is an abundant number, since it is smaller than the sum of its proper divisors (291431700).

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

106307460 is a wasteful number, since it uses less digits than its factorization.

106307460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106307460 is about 10310.5509067169. The cubic root of 106307460 is about 473.7194836501.

The spelling of 106307460 in words is "one hundred six million, three hundred seven thousand, four hundred sixty".