29242066104 has 96 divisors (see below), whose sum is σ = 80467452000. Its totient is φ = 9591644160.

The previous prime is 29242066081. The next prime is 29242066111. The reversal of 29242066104 is 40166024292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2353749 + ... + 2366139.

It is an arithmetic number, because the mean of its divisors is an integer number (838202625).

Almost surely, 2^29242066104 is an apocalyptic number.

29242066104 is a gapful number since it is divisible by the number (24) 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 29242066104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40233726000).

29242066104 is an abundant number, since it is smaller than the sum of its proper divisors (51225385896).

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

29242066104 is a wasteful number, since it uses less digits than its factorization.

29242066104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12925 (or 12918 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 29242066104 in words is "twenty-nine billion, two hundred forty-two million, sixty-six thousand, one hundred four".