29414802100 has 18 divisors (see below), whose sum is σ = 63830120774. Its totient is φ = 11765920800.

The previous prime is 29414802083. The next prime is 29414802103. The reversal of 29414802100 is 120841492.

It can be written as a sum of positive squares in 3 ways, for example, as 706921744 + 28707880356 = 26588^2 + 169434^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29414802103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147073911 + ... + 147074110.

Almost surely, 2^29414802100 is an apocalyptic number.

29414802100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29414802100 is an abundant number, since it is smaller than the sum of its proper divisors (34415318674).

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

29414802100 is a wasteful number, since it uses less digits than its factorization.

29414802100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294148035 (or 294148028 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 29414802100 in words is "twenty-nine billion, four hundred fourteen million, eight hundred two thousand, one hundred".