100013780 has 12 divisors (see below), whose sum is σ = 210028980. Its totient is φ = 40005504.

The previous prime is 100013761. The next prime is 100013803. The reversal of 100013780 is 87310001.

It can be written as a sum of positive squares in 2 ways, for example, as 75550864 + 24462916 = 8692^2 + 4946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5000689 = 100013780 / (1 + 0 + 0 + 0 + 1 + 3 + 7 + 8 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2500325 + ... + 2500364.

It is an arithmetic number, because the mean of its divisors is an integer number (17502415).

Almost surely, 2^100013780 is an apocalyptic number.

100013780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100013780 is an abundant number, since it is smaller than the sum of its proper divisors (110015200).

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

100013780 is a wasteful number, since it uses less digits than its factorization.

100013780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000698 (or 5000696 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 100013780 is about 10000.6889762656. The cubic root of 100013780 is about 464.1802027467.

Adding to 100013780 its reverse (87310001), we get a palindrome (187323781).

The spelling of 100013780 in words is "one hundred million, thirteen thousand, seven hundred eighty".