29900900 has 36 divisors (see below), whose sum is σ = 65537472. Its totient is φ = 11840160.

The previous prime is 29900891. The next prime is 29900903. The reversal of 29900900 is 900992.

It is not an unprimeable number, because it can be changed into a prime (29900903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8849 + ... + 11751.

Almost surely, 2^29900900 is an apocalyptic number.

29900900 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 29900900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32768736).

29900900 is an abundant number, since it is smaller than the sum of its proper divisors (35636572).

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

29900900 is a wasteful number, since it uses less digits than its factorization.

29900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 29900900 is about 5468.1715408352. The cubic root of 29900900 is about 310.3807323437.

The spelling of 29900900 in words is "twenty-nine million, nine hundred thousand, nine hundred".