100320051720 has 256 divisors, whose sum is σ = 347060736000. Its totient is φ = 22724084736.

The previous prime is 100320051707. The next prime is 100320051751. The reversal of 100320051720 is 27150023001.

100320051720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100320051720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60107046 + ... + 60108714.

It is an arithmetic number, because the mean of its divisors is an integer number (1355706000).

Almost surely, 2^100320051720 is an apocalyptic number.

100320051720 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 100320051720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173530368000).

100320051720 is an abundant number, since it is smaller than the sum of its proper divisors (246740684280).

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

100320051720 is a wasteful number, since it uses less digits than its factorization.

100320051720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 100320051720 its reverse (27150023001), we get a palindrome (127470074721).

The spelling of 100320051720 in words is "one hundred billion, three hundred twenty million, fifty-one thousand, seven hundred twenty".