100033771040 has 192 divisors, whose sum is σ = 279481466880. Its totient is φ = 33110277120.

The previous prime is 100033771037. The next prime is 100033771051. The reversal of 100033771040 is 40177330001.

100033771040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15238799 + ... + 15245361.

It is an arithmetic number, because the mean of its divisors is an integer number (1455632640).

Almost surely, 2^100033771040 is an apocalyptic number.

100033771040 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 100033771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139740733440).

100033771040 is an abundant number, since it is smaller than the sum of its proper divisors (179447695840).

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

100033771040 is a wasteful number, since it uses less digits than its factorization.

100033771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The spelling of 100033771040 in words is "one hundred billion, thirty-three million, seven hundred seventy-one thousand, forty".