100783980 has 288 divisors, whose sum is σ = 368686080. Its totient is φ = 22654080.

The previous prime is 100783937. The next prime is 100783987. The reversal of 100783980 is 89387001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100783987) 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 95 ways as a sum of consecutive naturals, for example, 2144317 + ... + 2144363.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^100783980 is an apocalyptic number.

100783980 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 100783980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

100783980 is an abundant number, since it is smaller than the sum of its proper divisors (267902100).

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

100783980 is a wasteful number, since it uses less digits than its factorization.

100783980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 100783980 is about 10039.1224716108. The cubic root of 100783980 is about 465.3686982169.

The spelling of 100783980 in words is "one hundred million, seven hundred eighty-three thousand, nine hundred eighty".