106416596 has 54 divisors (see below), whose sum is σ = 221825646. Its totient is φ = 44616000.

The previous prime is 106416581. The next prime is 106416599. The reversal of 106416596 is 695614601.

It can be written as a sum of positive squares in 3 ways, for example, as 13987600 + 92428996 = 3740^2 + 9614^2 .

It is a super-2 number, since 2×106416596² = 22648983808454432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106416599) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81146 + ... + 82446.

Almost surely, 2^106416596 is an apocalyptic number.

It is an amenable number.

106416596 is an abundant number, since it is smaller than the sum of its proper divisors (115409050).

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

106416596 is a wasteful number, since it uses less digits than its factorization.

106416596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 106416596 is about 10315.8419918105. The cubic root of 106416596 is about 473.8815361465.

The spelling of 106416596 in words is "one hundred six million, four hundred sixteen thousand, five hundred ninety-six".