100029780 has 72 divisors (see below), whose sum is σ = 308599200. Its totient is φ = 26219712.

The previous prime is 100029767. The next prime is 100029823. The reversal of 100029780 is 87920001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5911 + ... + 15329.

It is an arithmetic number, because the mean of its divisors is an integer number (4286100).

Almost surely, 2^100029780 is an apocalyptic number.

100029780 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 100029780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154299600).

100029780 is an abundant number, since it is smaller than the sum of its proper divisors (208569420).

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

100029780 is a wasteful number, since it uses less digits than its factorization.

100029780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 100029780 is about 10001.4888891605. The cubic root of 100029780 is about 464.2049542934.

Adding to 100029780 its reverse (87920001), we get a palindrome (187949781).

The spelling of 100029780 in words is "one hundred million, twenty-nine thousand, seven hundred eighty".