100929284720 has 120 divisors (see below), whose sum is σ = 258184964688. Its totient is φ = 36665671680.

The previous prime is 100929284713. The next prime is 100929284747. The reversal of 100929284720 is 27482929001.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11156519 + ... + 11165561.

Almost surely, 2^100929284720 is an apocalyptic number.

100929284720 is a gapful number since it is divisible by the number (10) 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 100929284720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129092482344).

100929284720 is an abundant number, since it is smaller than the sum of its proper divisors (157255679968).

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

100929284720 is a wasteful number, since it uses less digits than its factorization.

100929284720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 100929284720 in words is "one hundred billion, nine hundred twenty-nine million, two hundred eighty-four thousand, seven hundred twenty".