10942724100 has 864 divisors, whose sum is σ = 43317227520. Its totient is φ = 2104704000.

The previous prime is 10942724071. The next prime is 10942724119. The reversal of 10942724100 is 142724901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 185469871 + ... + 185469929.

It is an arithmetic number, because the mean of its divisors is an integer number (50135680).

Almost surely, 2^10942724100 is an apocalyptic number.

10942724100 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 10942724100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21658613760).

10942724100 is an abundant number, since it is smaller than the sum of its proper divisors (32374503420).

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

10942724100 is a wasteful number, since it uses less digits than its factorization.

10942724100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10942724100 in words is "ten billion, nine hundred forty-two million, seven hundred twenty-four thousand, one hundred".