10420542100 has 72 divisors (see below), whose sum is σ = 22940594208. Its totient is φ = 4108003200.

The previous prime is 10420542091. The next prime is 10420542103. The reversal of 10420542100 is 124502401.

10420542100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420542103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4074022 + ... + 4076578.

It is an arithmetic number, because the mean of its divisors is an integer number (318619364).

Almost surely, 2^10420542100 is an apocalyptic number.

10420542100 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 10420542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11470297104).

10420542100 is an abundant number, since it is smaller than the sum of its proper divisors (12520052108).

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

10420542100 is a wasteful number, since it uses less digits than its factorization.

10420542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 10420542100 in words is "ten billion, four hundred twenty million, five hundred forty-two thousand, one hundred".