100800720 has 160 divisors (see below), whose sum is σ = 362476800. Its totient is φ = 25698816.

The previous prime is 100800703. The next prime is 100800767. The reversal of 100800720 is 27008001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100800693 and 100800702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48666 + ... + 50694.

It is an arithmetic number, because the mean of its divisors is an integer number (2265480).

Almost surely, 2^100800720 is an apocalyptic number.

100800720 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 100800720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181238400).

100800720 is an abundant number, since it is smaller than the sum of its proper divisors (261676080).

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

100800720 is a wasteful number, since it uses less digits than its factorization.

100800720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100800720 is about 10039.9561752032. The cubic root of 100800720 is about 465.3944623669.

Adding to 100800720 its reverse (27008001), we get a palindrome (127808721).

The spelling of 100800720 in words is "one hundred million, eight hundred thousand, seven hundred twenty".