9962036100 has 135 divisors (see below), whose sum is σ = 32322130687. Its totient is φ = 2654147520.

The previous prime is 9962036041. The next prime is 9962036111. The reversal of 9962036100 is 16302699.

The square root of 9962036100 is 99810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5124555396 + 4837480704 = 71586^2 + 69552^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

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, 8982346 + ... + 8983454.

Almost surely, 2^9962036100 is an apocalyptic number.

9962036100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9962036100 is the 99810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9962036100

9962036100 is an abundant number, since it is smaller than the sum of its proper divisors (22360094587).

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

9962036100 is a wasteful number, since it uses less digits than its factorization.

9962036100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The cubic root of 9962036100 is about 2151.7048745263.

Multiplying 9962036100 by its sum of digits (36), we get a square (358633299600 = 598860²).

9962036100 divided by its sum of digits (36) gives a square (276723225 = 16635²).

Adding to 9962036100 its reverse (16302699), we get a palindrome (9978338799).

The spelling of 9962036100 in words is "nine billion, nine hundred sixty-two million, thirty-six thousand, one hundred".