106624314 has 96 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 31933440.

The previous prime is 106624307. The next prime is 106624327. The reversal of 106624314 is 413426601.

106624314 is a `hidden beast` number, since 1 + 0 + 6 + 624 + 31 + 4 = 666.

It is a super-2 number, since 2×106624314² = 22737488671941192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 943522 + ... + 943634.

It is an arithmetic number, because the mean of its divisors is an integer number (2667600).

Almost surely, 2^106624314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106624314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

106624314 is an abundant number, since it is smaller than the sum of its proper divisors (149465286).

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

106624314 is a wasteful number, since it uses less digits than its factorization.

106624314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106624314 is about 10325.9049966577. The cubic root of 106624314 is about 474.1896639908.

The spelling of 106624314 in words is "one hundred six million, six hundred twenty-four thousand, three hundred fourteen".