29934270100 has 144 divisors (see below), whose sum is σ = 78248464000. Its totient is φ = 9710046720.

The previous prime is 29934270083. The next prime is 29934270181. The reversal of 29934270100 is 107243992.

It is a self number, because there is not a number n which added to its sum of digits gives 29934270100.

It is a congruent number.

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, 19324126 + ... + 19325674.

Almost surely, 2^29934270100 is an apocalyptic number.

29934270100 is a gapful number since it is divisible by the number (20) 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 29934270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39124232000).

29934270100 is an abundant number, since it is smaller than the sum of its proper divisors (48314193900).

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

29934270100 is a wasteful number, since it uses less digits than its factorization.

29934270100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 29934270100 in words is "twenty-nine billion, nine hundred thirty-four million, two hundred seventy thousand, one hundred".