29946105 has 72 divisors (see below), whose sum is σ = 62741952. Its totient is φ = 13662432.

The previous prime is 29946089. The next prime is 29946121. The reversal of 29946105 is 50164992.

It is an interprime number because it is at equal distance from previous prime (29946089) and next prime (29946121).

It is not a de Polignac number, because 29946105 - 2⁴ = 29946089 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29946105.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59284 + ... + 59786.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^29946105 is an apocalyptic number.

It is an amenable number.

29946105 is an abundant number, since it is smaller than the sum of its proper divisors (32795847).

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

29946105 is an equidigital number, since it uses as much as digits as its factorization.

29946105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 29946105 is about 5472.3034455337. The cubic root of 29946105 is about 310.5370676184.

The spelling of 29946105 in words is "twenty-nine million, nine hundred forty-six thousand, one hundred five".