29449992100 has 45 divisors (see below), whose sum is σ = 64398071185. Its totient is φ = 11690073200.

The previous prime is 29449992073. The next prime is 29449992127. The reversal of 29449992100 is 129994492.

It is a happy number.

The square root of 29449992100 is 171610.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (29449992073) and next prime (29449992127).

It can be written as a sum of positive squares in only one way, i.e., 10601997156 + 18847994944 = 102966^2 + 137288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 224809035 + ... + 224809165.

Almost surely, 2^29449992100 is an apocalyptic number.

29449992100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29449992100 is the 171610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29449992100

29449992100 is an abundant number, since it is smaller than the sum of its proper divisors (34948079085).

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

29449992100 is an frugal number, since it uses more digits than its factorization.

29449992100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 29449992100 by its sum of digits (49), we get a square (1443049612900 = 1201270²).

The spelling of 29449992100 in words is "twenty-nine billion, four hundred forty-nine million, nine hundred ninety-two thousand, one hundred".