100780830 has 48 divisors (see below), whose sum is σ = 264648384. Its totient is φ = 26606400.

The previous prime is 100780819. The next prime is 100780837. The reversal of 100780830 is 38087001.

It is a junction number, because it is equal to n+sod(n) for n = 100780794 and 100780803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100780837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3547 + ... + 14633.

It is an arithmetic number, because the mean of its divisors is an integer number (5513508).

Almost surely, 2^100780830 is an apocalyptic number.

100780830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100780830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132324192).

100780830 is an abundant number, since it is smaller than the sum of its proper divisors (163867554).

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

100780830 is a wasteful number, since it uses less digits than its factorization.

100780830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100780830 is about 10038.9655841625. The cubic root of 100780830 is about 465.3638498052.

The spelling of 100780830 in words is "one hundred million, seven hundred eighty thousand, eight hundred thirty".