9942100 has 54 divisors (see below), whose sum is σ = 25109070. Its totient is φ = 3407040.

The previous prime is 9942077. The next prime is 9942133. The reversal of 9942100 is 12499.

9942100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3161284 + 6780816 = 1778^2 + 2604^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3886 + ... + 5914.

Almost surely, 2^9942100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554535).

9942100 is an abundant number, since it is smaller than the sum of its proper divisors (15166970).

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

9942100 is a wasteful number, since it uses less digits than its factorization.

9942100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 9942100 is about 3153.1095762755. The cubic root of 9942100 is about 215.0268580112.

Adding to 9942100 its reverse (12499), we get a palindrome (9954599).

The spelling of 9942100 in words is "nine million, nine hundred forty-two thousand, one hundred".