9905700 has 144 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 2196480.

The previous prime is 9905683. The next prime is 9905711. The reversal of 9905700 is 75099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111256 + ... + 111344.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^9905700 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 9905700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

9905700 is an abundant number, since it is smaller than the sum of its proper divisors (23842140).

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

9905700 is a wasteful number, since it uses less digits than its factorization.

9905700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 9905700 is about 3147.3322036290. The cubic root of 9905700 is about 214.7641184442.

The spelling of 9905700 in words is "nine million, nine hundred five thousand, seven hundred".