106414308 has 144 divisors (see below), whose sum is σ = 361286016. Its totient is φ = 25505280.

The previous prime is 106414283. The next prime is 106414349. The reversal of 106414308 is 803414601.

106414308 is a `hidden beast` number, since 10 + 641 + 4 + 3 + 0 + 8 = 666.

It is a super-2 number, since 2×106414308² = 22648009894237728, 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 47 ways as a sum of consecutive naturals, for example, 34560 + ... + 37512.

Almost surely, 2^106414308 is an apocalyptic number.

106414308 is a gapful number since it is divisible by the number (18) 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 106414308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180643008).

106414308 is an abundant number, since it is smaller than the sum of its proper divisors (254871708).

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

106414308 is a wasteful number, since it uses less digits than its factorization.

106414308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106414308 is about 10315.7310938198. The cubic root of 106414308 is about 473.8781399071.

Adding to 106414308 its reverse (803414601), we get a palindrome (909828909).

It can be divided in two parts, 106 and 414308, that added together give a palindrome (414414).

The spelling of 106414308 in words is "one hundred six million, four hundred fourteen thousand, three hundred eight".