29649396100 has 81 divisors (see below), whose sum is σ = 65568936783. Its totient is φ = 11637288960.

The previous prime is 29649396097. The next prime is 29649396107. The reversal of 29649396100 is 169394692.

The square root of 29649396100 is 172190.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7285988164 + 22363407936 = 85358^2 + 149544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29649396107) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 115367172 + ... + 115367428.

Almost surely, 2^29649396100 is an apocalyptic number.

29649396100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29649396100 is the 172190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29649396100

29649396100 is an abundant number, since it is smaller than the sum of its proper divisors (35919540683).

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

29649396100 is an equidigital number, since it uses as much as digits as its factorization.

29649396100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

Multiplying 29649396100 by its sum of digits (49), we get a square (1452820408900 = 1205330²).

The spelling of 29649396100 in words is "twenty-nine billion, six hundred forty-nine million, three hundred ninety-six thousand, one hundred".