2829106104 has 32 divisors (see below), whose sum is σ = 7715744640. Its totient is φ = 857304800.

The previous prime is 2829106079. The next prime is 2829106121. The reversal of 2829106104 is 4016019282.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5357892 + ... + 5358419.

It is an arithmetic number, because the mean of its divisors is an integer number (241117020).

Almost surely, 2^2829106104 is an apocalyptic number.

2829106104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2829106104 is an abundant number, since it is smaller than the sum of its proper divisors (4886638536).

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

2829106104 is a wasteful number, since it uses less digits than its factorization.

2829106104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716331 (or 10716327 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2829106104 is about 53189.3420151067. The cubic root of 2829106104 is about 1414.3267165281.

The spelling of 2829106104 in words is "two billion, eight hundred twenty-nine million, one hundred six thousand, one hundred four".