9942084100 has 135 divisors (see below), whose sum is σ = 23774971577. Its totient is φ = 3608704320.

The previous prime is 9942084073. The next prime is 9942084127. The reversal of 9942084100 is 14802499.

It is a happy number.

The square root of 9942084100 is 99710.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9942084073) and next prime (9942084127).

It can be written as a sum of positive squares in 7 ways, for example, as 9754722756 + 187361344 = 98766^2 + 13688^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9942084100.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 168509871 + ... + 168509929.

Almost surely, 2^9942084100 is an apocalyptic number.

9942084100 is the 99710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9942084100

9942084100 is an abundant number, since it is smaller than the sum of its proper divisors (13832887477).

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

9942084100 is an equidigital number, since it uses as much as digits as its factorization.

9942084100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 9942084100 is about 2150.2674338324.

Multiplying 9942084100 by its product of nonzero digits (20736), we get a square (206159055897600 = 14358240²).

Adding to 9942084100 its reverse (14802499), we get a palindrome (9956886599).

The spelling of 9942084100 in words is "nine billion, nine hundred forty-two million, eighty-four thousand, one hundred".