100510720 has 88 divisors (see below), whose sum is σ = 245541744. Its totient is φ = 39469056.

The previous prime is 100510717. The next prime is 100510727. The reversal of 100510720 is 27015001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100510694 and 100510703.

It is not an unprimeable number, because it can be changed into a prime (100510727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342894 + ... + 343186.

Almost surely, 2^100510720 is an apocalyptic number.

100510720 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 100510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122770872).

100510720 is an abundant number, since it is smaller than the sum of its proper divisors (145031024).

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

100510720 is an equidigital number, since it uses as much as digits as its factorization.

100510720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 100510720 is about 10025.5034786289. The cubic root of 100510720 is about 464.9477260388.

Adding to 100510720 its reverse (27015001), we get a palindrome (127525721).

The spelling of 100510720 in words is "one hundred million, five hundred ten thousand, seven hundred twenty".