10780100 has 72 divisors (see below), whose sum is σ = 25206720. Its totient is φ = 3991680.

The previous prime is 10780097. The next prime is 10780117. The reversal of 10780100 is 108701.

10780100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 98846 + ... + 98954.

Almost surely, 2^10780100 is an apocalyptic number.

10780100 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 10780100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360).

10780100 is an abundant number, since it is smaller than the sum of its proper divisors (14426620).

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

10780100 is a wasteful number, since it uses less digits than its factorization.

10780100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 10780100 is about 3283.3062604637. The cubic root of 10780100 is about 220.9060430644.

Adding to 10780100 its reverse (108701), we get a palindrome (10888801).

The spelling of 10780100 in words is "ten million, seven hundred eighty thousand, one hundred".