106416306 has 12 divisors (see below), whose sum is σ = 230568702. Its totient is φ = 35472096.

The previous prime is 106416293. The next prime is 106416371. The reversal of 106416306 is 603614601.

106416306 is a `hidden beast` number, since 10 + 641 + 6 + 3 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70308225 + 36108081 = 8385^2 + 6009^2 .

It is a super-2 number, since 2×106416306² = 22648860365371272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106416306.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2955991 + ... + 2956026.

Almost surely, 2^106416306 is an apocalyptic number.

106416306 is an abundant number, since it is smaller than the sum of its proper divisors (124152396).

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

106416306 is a wasteful number, since it uses less digits than its factorization.

106416306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912025 (or 5912022 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106416306 is about 10315.8279357500. The cubic root of 106416306 is about 473.8811056818.

The spelling of 106416306 in words is "one hundred six million, four hundred sixteen thousand, three hundred six".