9960254100 has 648 divisors, whose sum is σ = 36901388160. Its totient is φ = 2317870080.

The previous prime is 9960254093. The next prime is 9960254111. The reversal of 9960254100 is 14520699.

9960254100 is a `hidden beast` number, since 9 + 9 + 602 + 5 + 41 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 211920277 + ... + 211920323.

Almost surely, 2^9960254100 is an apocalyptic number.

9960254100 is a gapful number since it is divisible by the number (90) 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 9960254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450694080).

9960254100 is an abundant number, since it is smaller than the sum of its proper divisors (26941134060).

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

9960254100 is a wasteful number, since it uses less digits than its factorization.

9960254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9960254100 is about 99801.0726395263. The cubic root of 9960254100 is about 2151.5765685355.

Adding to 9960254100 its reverse (14520699), we get a palindrome (9974774799).

The spelling of 9960254100 in words is "nine billion, nine hundred sixty million, two hundred fifty-four thousand, one hundred".