100027920 has 80 divisors (see below), whose sum is σ = 323586432. Its totient is φ = 25512960.

The previous prime is 100027841. The next prime is 100027927. The reversal of 100027920 is 29720001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100027927) 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 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 14580.

Almost surely, 2^100027920 is an apocalyptic number.

100027920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100027920 is an abundant number, since it is smaller than the sum of its proper divisors (223558512).

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

100027920 is a wasteful number, since it uses less digits than its factorization.

100027920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18160 (or 18154 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 100027920 is about 10001.3959025728. The cubic root of 100027920 is about 464.2020770617.

Adding to 100027920 its reverse (29720001), we get a palindrome (129747921).

It can be divided in two parts, 1000 and 27920, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 100027920 in words is "one hundred million, twenty-seven thousand, nine hundred twenty".