9845045100 has 864 divisors, whose sum is σ = 38884177920. Its totient is φ = 2115072000.

The previous prime is 9845045099. The next prime is 9845045101. The reversal of 9845045100 is 15405489.

9845045100 is a `hidden beast` number, since 98 + 4 + 50 + 4 + 510 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9845045099) and next prime (9845045101).

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

It is not an unprimeable number, because it can be changed into a prime (9845045101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 266082282 + ... + 266082318.

Almost surely, 2^9845045100 is an apocalyptic number.

9845045100 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 9845045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19442088960).

9845045100 is an abundant number, since it is smaller than the sum of its proper divisors (29039132820).

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

9845045100 is a wasteful number, since it uses less digits than its factorization.

9845045100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 9845045100 is about 99222.2006407840. The cubic root of 9845045100 is about 2143.2487050173.

The spelling of 9845045100 in words is "nine billion, eight hundred forty-five million, forty-five thousand, one hundred".