29143100 has 144 divisors (see below), whose sum is σ = 79994880. Its totient is φ = 8985600.

The previous prime is 29143063. The next prime is 29143123. The reversal of 29143100 is 134192.

It is a super-2 number, since 2×29143100² = 1698640555220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368861 + ... + 368939.

It is an arithmetic number, because the mean of its divisors is an integer number (555520).

Almost surely, 2^29143100 is an apocalyptic number.

29143100 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 29143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

29143100 is an abundant number, since it is smaller than the sum of its proper divisors (50851780).

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

29143100 is a wasteful number, since it uses less digits than its factorization.

29143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 29143100 is about 5398.4349583930. The cubic root of 29143100 is about 307.7361967843.

Adding to 29143100 its reverse (134192), we get a palindrome (29277292).

The spelling of 29143100 in words is "twenty-nine million, one hundred forty-three thousand, one hundred".