100720000 has 80 divisors (see below), whose sum is σ = 250935300. Its totient is φ = 40256000.

The previous prime is 100719991. The next prime is 100720027. The reversal of 100720000 is 27001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79371 + ... + 80629.

Almost surely, 2^100720000 is an apocalyptic number.

100720000 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 100720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125467650).

100720000 is an abundant number, since it is smaller than the sum of its proper divisors (150215300).

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

100720000 is an frugal number, since it uses more digits than its factorization.

100720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 100720000 is about 10035.9354322355. The cubic root of 100720000 is about 465.2702017693.

Adding to 100720000 its reverse (27001), we get a palindrome (100747001).

The spelling of 100720000 in words is "one hundred million, seven hundred twenty thousand".