100027720 has 48 divisors (see below), whose sum is σ = 243723060. Its totient is φ = 36930816.

The previous prime is 100027693. The next prime is 100027789. The reversal of 100027720 is 27720001.

It can be written as a sum of positive squares in 6 ways, for example, as 6441444 + 93586276 = 2538^2 + 9674^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639 + ... + 14158.

Almost surely, 2^100027720 is an apocalyptic number.

100027720 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 100027720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121861530).

100027720 is an abundant number, since it is smaller than the sum of its proper divisors (143695340).

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

100027720 is a wasteful number, since it uses less digits than its factorization.

100027720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14834 (or 14817 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 100027720 is about 10001.3859039635. The cubic root of 100027720 is about 464.2017676798.

Adding to 100027720 its reverse (27720001), we get a palindrome (127747721).

The spelling of 100027720 in words is "one hundred million, twenty-seven thousand, seven hundred twenty".