10042094100 has 144 divisors (see below), whose sum is σ = 29391118848. Its totient is φ = 2647128960.

The previous prime is 10042094087. The next prime is 10042094141. The reversal of 10042094100 is 149024001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11372259 + ... + 11373141.

It is an arithmetic number, because the mean of its divisors is an integer number (204104992).

Almost surely, 2^10042094100 is an apocalyptic number.

10042094100 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 10042094100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695559424).

10042094100 is an abundant number, since it is smaller than the sum of its proper divisors (19349024748).

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

10042094100 is a wasteful number, since it uses less digits than its factorization.

10042094100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 10042094100 in words is "ten billion, forty-two million, ninety-four thousand, one hundred".