10900977300 has 144 divisors (see below), whose sum is σ = 35859996480. Its totient is φ = 2839294080.

The previous prime is 10900977287. The next prime is 10900977317. The reversal of 10900977300 is 377900901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69154 + ... + 163046.

Almost surely, 2^10900977300 is an apocalyptic number.

10900977300 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 10900977300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929998240).

10900977300 is an abundant number, since it is smaller than the sum of its proper divisors (24959019180).

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

10900977300 is a wasteful number, since it uses less digits than its factorization.

10900977300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93959 (or 93946 counting only the distinct ones).

The product of its (nonzero) digits is 11907, while the sum is 36.

The spelling of 10900977300 in words is "ten billion, nine hundred million, nine hundred seventy-seven thousand, three hundred".