29968106 has 48 divisors (see below), whose sum is σ = 54665280. Its totient is φ = 12277440.

The previous prime is 29968087. The next prime is 29968117. The reversal of 29968106 is 60186992.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 410486 + ... + 410558.

It is an arithmetic number, because the mean of its divisors is an integer number (1138860).

Almost surely, 2^29968106 is an apocalyptic number.

29968106 is a deficient number, since it is larger than the sum of its proper divisors (24697174).

29968106 is a wasteful number, since it uses less digits than its factorization.

29968106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 29968106 is about 5474.3132902676. The cubic root of 29968106 is about 310.6130981355.

The spelling of 29968106 in words is "twenty-nine million, nine hundred sixty-eight thousand, one hundred six".