100829933466 has 32 divisors (see below), whose sum is σ = 202443712128. Its totient is φ = 33479416320.

The previous prime is 100829933461. The next prime is 100829933467. The reversal of 100829933466 is 664339928001.

It is not an unprimeable number, because it can be changed into a prime (100829933461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6387115 + ... + 6402881.

It is an arithmetic number, because the mean of its divisors is an integer number (6326366004).

Almost surely, 2^100829933466 is an apocalyptic number.

100829933466 is an abundant number, since it is smaller than the sum of its proper divisors (101613778662).

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

100829933466 is a wasteful number, since it uses less digits than its factorization.

100829933466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19846.

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 100829933466 in words is "one hundred billion, eight hundred twenty-nine million, nine hundred thirty-three thousand, four hundred sixty-six".