100012080 has 160 divisors (see below), whose sum is σ = 360691200. Its totient is φ = 22450176.

The previous prime is 100012069. The next prime is 100012103. The reversal of 100012080 is 80210001.

It is a happy number.

It is a super-2 number, since 2×100012080² = 20004832291852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98616 + ... + 99624.

It is an arithmetic number, because the mean of its divisors is an integer number (2254320).

Almost surely, 2^100012080 is an apocalyptic number.

100012080 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 100012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180345600).

100012080 is an abundant number, since it is smaller than the sum of its proper divisors (260679120).

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

100012080 is a wasteful number, since it uses less digits than its factorization.

100012080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 100012080 is about 10000.6039817603. The cubic root of 100012080 is about 464.1775727398.

Adding to 100012080 its reverse (80210001), we get a palindrome (180222081).

The spelling of 100012080 in words is "one hundred million, twelve thousand, eighty".