100858560800 has 72 divisors (see below), whose sum is σ = 246265706736. Its totient is φ = 40336093440.

The previous prime is 100858560793. The next prime is 100858560809. The reversal of 100858560800 is 8065858001.

It is not an unprimeable number, because it can be changed into a prime (100858560809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7342739 + ... + 7356461.

It is an arithmetic number, because the mean of its divisors is an integer number (3420357038).

Almost surely, 2^100858560800 is an apocalyptic number.

100858560800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100858560800 is an abundant number, since it is smaller than the sum of its proper divisors (145407145936).

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

100858560800 is a wasteful number, since it uses less digits than its factorization.

100858560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22930 (or 22917 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

The spelling of 100858560800 in words is "one hundred billion, eight hundred fifty-eight million, five hundred sixty thousand, eight hundred".