100151686820 has 24 divisors (see below), whose sum is σ = 211094636928. Its totient is φ = 39912847200.

The previous prime is 100151686813. The next prime is 100151686861. The reversal of 100151686820 is 28686151001.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9233666 + ... + 9244505.

It is an arithmetic number, because the mean of its divisors is an integer number (8795609872).

Almost surely, 2^100151686820 is an apocalyptic number.

100151686820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100151686820 is an abundant number, since it is smaller than the sum of its proper divisors (110942950108).

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

100151686820 is a wasteful number, since it uses less digits than its factorization.

100151686820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18478451 (or 18478449 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The spelling of 100151686820 in words is "one hundred billion, one hundred fifty-one million, six hundred eighty-six thousand, eight hundred twenty".